The Busemann theorem for complex p-convex bodies
Abstract The Busemann theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper, we prove a version of the Busemann theorem for complex p-convex bodies. Namely that the complex intersection body of an origin-symmetric complex p-convex body is γ-convex...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Huang, Qingzhong [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Anmerkung: |
© Springer Basel AG 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Archiv der Mathematik - SP Birkhäuser Verlag Basel, 1948, 99(2012), 3 vom: Sept., Seite 289-299 |
|---|---|
| Übergeordnetes Werk: |
volume:99 ; year:2012 ; number:3 ; month:09 ; pages:289-299 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00013-012-0422-y |
|---|
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OLC2049236506 |
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| 520 | |a Abstract The Busemann theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper, we prove a version of the Busemann theorem for complex p-convex bodies. Namely that the complex intersection body of an origin-symmetric complex p-convex body is γ-convex for certain γ. The result is the complex analogue of the work of Kim, Yaskin, and Zvavitch on (real) p-convex bodies. Furthermore, we show that the generalized radial qth mean body of a p-convex body is γ-convex for certain γ. | ||
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10.1007/s00013-012-0422-y doi (DE-627)OLC2049236506 (DE-He213)s00013-012-0422-y-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Huang, Qingzhong verfasserin aut The Busemann theorem for complex p-convex bodies 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Basel AG 2012 Abstract The Busemann theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper, we prove a version of the Busemann theorem for complex p-convex bodies. Namely that the complex intersection body of an origin-symmetric complex p-convex body is γ-convex for certain γ. The result is the complex analogue of the work of Kim, Yaskin, and Zvavitch on (real) p-convex bodies. Furthermore, we show that the generalized radial qth mean body of a p-convex body is γ-convex for certain γ. He, Binwu aut Wang, Guangting aut Enthalten in Archiv der Mathematik SP Birkhäuser Verlag Basel, 1948 99(2012), 3 vom: Sept., Seite 289-299 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:99 year:2012 number:3 month:09 pages:289-299 https://doi.org/10.1007/s00013-012-0422-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4311 GBV_ILN_4318 GBV_ILN_4325 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 99 2012 3 09 289-299 |
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10.1007/s00013-012-0422-y doi (DE-627)OLC2049236506 (DE-He213)s00013-012-0422-y-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Huang, Qingzhong verfasserin aut The Busemann theorem for complex p-convex bodies 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Basel AG 2012 Abstract The Busemann theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper, we prove a version of the Busemann theorem for complex p-convex bodies. Namely that the complex intersection body of an origin-symmetric complex p-convex body is γ-convex for certain γ. The result is the complex analogue of the work of Kim, Yaskin, and Zvavitch on (real) p-convex bodies. Furthermore, we show that the generalized radial qth mean body of a p-convex body is γ-convex for certain γ. He, Binwu aut Wang, Guangting aut Enthalten in Archiv der Mathematik SP Birkhäuser Verlag Basel, 1948 99(2012), 3 vom: Sept., Seite 289-299 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:99 year:2012 number:3 month:09 pages:289-299 https://doi.org/10.1007/s00013-012-0422-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4311 GBV_ILN_4318 GBV_ILN_4325 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 99 2012 3 09 289-299 |
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the busemann theorem for complex p-convex bodies |
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The Busemann theorem for complex p-convex bodies |
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Abstract The Busemann theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper, we prove a version of the Busemann theorem for complex p-convex bodies. Namely that the complex intersection body of an origin-symmetric complex p-convex body is γ-convex for certain γ. The result is the complex analogue of the work of Kim, Yaskin, and Zvavitch on (real) p-convex bodies. Furthermore, we show that the generalized radial qth mean body of a p-convex body is γ-convex for certain γ. © Springer Basel AG 2012 |
| abstractGer |
Abstract The Busemann theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper, we prove a version of the Busemann theorem for complex p-convex bodies. Namely that the complex intersection body of an origin-symmetric complex p-convex body is γ-convex for certain γ. The result is the complex analogue of the work of Kim, Yaskin, and Zvavitch on (real) p-convex bodies. Furthermore, we show that the generalized radial qth mean body of a p-convex body is γ-convex for certain γ. © Springer Basel AG 2012 |
| abstract_unstemmed |
Abstract The Busemann theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper, we prove a version of the Busemann theorem for complex p-convex bodies. Namely that the complex intersection body of an origin-symmetric complex p-convex body is γ-convex for certain γ. The result is the complex analogue of the work of Kim, Yaskin, and Zvavitch on (real) p-convex bodies. Furthermore, we show that the generalized radial qth mean body of a p-convex body is γ-convex for certain γ. © Springer Basel AG 2012 |
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