Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes

The nth power of the volume functional V n of polytopes P in...
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Gespeichert in:

Autor*in:	Liu, Yude [verfasserIn] Sun, Qiang [verfasserIn] Xiong, Ge [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Polytope Cone-volume Affine isoperimetric inequality Subspace concentration condition

Übergeordnetes Werk:	Enthalten in: Advances in mathematics - Amsterdam [u.a.] : Elsevier, 1961, 389
Übergeordnetes Werk:	volume:389

DOI / URN:	10.1016/j.aim.2021.107902

Katalog-ID:	ELV006470033

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520			\|a The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes.
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allfields	10.1016/j.aim.2021.107902 doi (DE-627)ELV006470033 (ELSEVIER)S0001-8708(21)00341-8 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Liu, Yude verfasserin aut Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes. Polytope Cone-volume Affine isoperimetric inequality Subspace concentration condition Sun, Qiang verfasserin aut Xiong, Ge verfasserin aut Enthalten in Advances in mathematics Amsterdam [u.a.] : Elsevier, 1961 389 Online-Ressource (DE-627)268759200 (DE-600)1472893-X (DE-576)103373292 1090-2082 nnns volume:389 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 389
spelling	10.1016/j.aim.2021.107902 doi (DE-627)ELV006470033 (ELSEVIER)S0001-8708(21)00341-8 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Liu, Yude verfasserin aut Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes. Polytope Cone-volume Affine isoperimetric inequality Subspace concentration condition Sun, Qiang verfasserin aut Xiong, Ge verfasserin aut Enthalten in Advances in mathematics Amsterdam [u.a.] : Elsevier, 1961 389 Online-Ressource (DE-627)268759200 (DE-600)1472893-X (DE-576)103373292 1090-2082 nnns volume:389 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 389
allfields_unstemmed	10.1016/j.aim.2021.107902 doi (DE-627)ELV006470033 (ELSEVIER)S0001-8708(21)00341-8 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Liu, Yude verfasserin aut Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes. Polytope Cone-volume Affine isoperimetric inequality Subspace concentration condition Sun, Qiang verfasserin aut Xiong, Ge verfasserin aut Enthalten in Advances in mathematics Amsterdam [u.a.] : Elsevier, 1961 389 Online-Ressource (DE-627)268759200 (DE-600)1472893-X (DE-576)103373292 1090-2082 nnns volume:389 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 389
allfieldsGer	10.1016/j.aim.2021.107902 doi (DE-627)ELV006470033 (ELSEVIER)S0001-8708(21)00341-8 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Liu, Yude verfasserin aut Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes. Polytope Cone-volume Affine isoperimetric inequality Subspace concentration condition Sun, Qiang verfasserin aut Xiong, Ge verfasserin aut Enthalten in Advances in mathematics Amsterdam [u.a.] : Elsevier, 1961 389 Online-Ressource (DE-627)268759200 (DE-600)1472893-X (DE-576)103373292 1090-2082 nnns volume:389 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 389
allfieldsSound	10.1016/j.aim.2021.107902 doi (DE-627)ELV006470033 (ELSEVIER)S0001-8708(21)00341-8 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Liu, Yude verfasserin aut Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes. Polytope Cone-volume Affine isoperimetric inequality Subspace concentration condition Sun, Qiang verfasserin aut Xiong, Ge verfasserin aut Enthalten in Advances in mathematics Amsterdam [u.a.] : Elsevier, 1961 389 Online-Ressource (DE-627)268759200 (DE-600)1472893-X (DE-576)103373292 1090-2082 nnns volume:389 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 389
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bklname	Mathematik: Allgemeines
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topic_facet	Polytope Cone-volume Affine isoperimetric inequality Subspace concentration condition
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container_title	Advances in mathematics
authorswithroles_txt_mv	Liu, Yude @@aut@@ Sun, Qiang @@aut@@ Xiong, Ge @@aut@@
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author	Liu, Yude
spellingShingle	Liu, Yude ddc 510 bkl 31.00 misc Polytope misc Cone-volume misc Affine isoperimetric inequality misc Subspace concentration condition Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
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topic_title	510 DE-600 31.00 bkl Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes Polytope Cone-volume Affine isoperimetric inequality Subspace concentration condition
topic	ddc 510 bkl 31.00 misc Polytope misc Cone-volume misc Affine isoperimetric inequality misc Subspace concentration condition
topic_unstemmed	ddc 510 bkl 31.00 misc Polytope misc Cone-volume misc Affine isoperimetric inequality misc Subspace concentration condition
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title	Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
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title_full	Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
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author_browse	Liu, Yude Sun, Qiang Xiong, Ge
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title_sort	sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
title_auth	Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
abstract	The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes.
abstractGer	The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes.
abstract_unstemmed	The nth power of the volume functional V n of polytopes P in R n , according to dimensions of the spaces spanned by any n unit outer normal vectors of P, is decomposed into n homogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R 3 are established, which essentially characterize the geometric and algebraic structures of polytopes.
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title_short	Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
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doi_str	10.1016/j.aim.2021.107902
up_date	2024-07-06T21:29:14.507Z
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