On Landsberg general (α,β)-metrics with a conformal 1-form
In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhou, Shasha [verfasserIn] |
|---|
| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Umfang: |
20 |
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| Übergeordnetes Werk: |
Enthalten in: Rare earth activated ZnO nanoparticles as biomarkers - Wolska, E. ELSEVIER, 2014, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:59 ; year:2018 ; pages:46-65 ; extent:20 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.difgeo.2018.04.001 |
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| 520 | |a In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. | ||
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10.1016/j.difgeo.2018.04.001 doi GBV00000000000239A.pica (DE-627)ELV043148263 (ELSEVIER)S0926-2245(18)30140-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 620 VZ 670 VZ 300 VZ 70.00 bkl 71.00 bkl Zhou, Shasha verfasserin aut On Landsberg general (α,β)-metrics with a conformal 1-form 2018 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. 53B40 Elsevier 53C60 Elsevier Li, Benling oth Enthalten in Elsevier Science Publ Wolska, E. ELSEVIER Rare earth activated ZnO nanoparticles as biomarkers 2014 Amsterdam [u.a.] (DE-627)ELV012451371 volume:59 year:2018 pages:46-65 extent:20 https://doi.org/10.1016/j.difgeo.2018.04.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_40 GBV_ILN_105 70.00 Sozialwissenschaften allgemein: Allgemeines VZ 71.00 Soziologie: Allgemeines VZ AR 59 2018 46-65 20 045F 510 |
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10.1016/j.difgeo.2018.04.001 doi GBV00000000000239A.pica (DE-627)ELV043148263 (ELSEVIER)S0926-2245(18)30140-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 620 VZ 670 VZ 300 VZ 70.00 bkl 71.00 bkl Zhou, Shasha verfasserin aut On Landsberg general (α,β)-metrics with a conformal 1-form 2018 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. 53B40 Elsevier 53C60 Elsevier Li, Benling oth Enthalten in Elsevier Science Publ Wolska, E. ELSEVIER Rare earth activated ZnO nanoparticles as biomarkers 2014 Amsterdam [u.a.] (DE-627)ELV012451371 volume:59 year:2018 pages:46-65 extent:20 https://doi.org/10.1016/j.difgeo.2018.04.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_40 GBV_ILN_105 70.00 Sozialwissenschaften allgemein: Allgemeines VZ 71.00 Soziologie: Allgemeines VZ AR 59 2018 46-65 20 045F 510 |
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10.1016/j.difgeo.2018.04.001 doi GBV00000000000239A.pica (DE-627)ELV043148263 (ELSEVIER)S0926-2245(18)30140-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 620 VZ 670 VZ 300 VZ 70.00 bkl 71.00 bkl Zhou, Shasha verfasserin aut On Landsberg general (α,β)-metrics with a conformal 1-form 2018 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. 53B40 Elsevier 53C60 Elsevier Li, Benling oth Enthalten in Elsevier Science Publ Wolska, E. ELSEVIER Rare earth activated ZnO nanoparticles as biomarkers 2014 Amsterdam [u.a.] (DE-627)ELV012451371 volume:59 year:2018 pages:46-65 extent:20 https://doi.org/10.1016/j.difgeo.2018.04.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_40 GBV_ILN_105 70.00 Sozialwissenschaften allgemein: Allgemeines VZ 71.00 Soziologie: Allgemeines VZ AR 59 2018 46-65 20 045F 510 |
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10.1016/j.difgeo.2018.04.001 doi GBV00000000000239A.pica (DE-627)ELV043148263 (ELSEVIER)S0926-2245(18)30140-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 620 VZ 670 VZ 300 VZ 70.00 bkl 71.00 bkl Zhou, Shasha verfasserin aut On Landsberg general (α,β)-metrics with a conformal 1-form 2018 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. 53B40 Elsevier 53C60 Elsevier Li, Benling oth Enthalten in Elsevier Science Publ Wolska, E. ELSEVIER Rare earth activated ZnO nanoparticles as biomarkers 2014 Amsterdam [u.a.] (DE-627)ELV012451371 volume:59 year:2018 pages:46-65 extent:20 https://doi.org/10.1016/j.difgeo.2018.04.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_40 GBV_ILN_105 70.00 Sozialwissenschaften allgemein: Allgemeines VZ 71.00 Soziologie: Allgemeines VZ AR 59 2018 46-65 20 045F 510 |
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10.1016/j.difgeo.2018.04.001 doi GBV00000000000239A.pica (DE-627)ELV043148263 (ELSEVIER)S0926-2245(18)30140-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 620 VZ 670 VZ 300 VZ 70.00 bkl 71.00 bkl Zhou, Shasha verfasserin aut On Landsberg general (α,β)-metrics with a conformal 1-form 2018 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. 53B40 Elsevier 53C60 Elsevier Li, Benling oth Enthalten in Elsevier Science Publ Wolska, E. ELSEVIER Rare earth activated ZnO nanoparticles as biomarkers 2014 Amsterdam [u.a.] (DE-627)ELV012451371 volume:59 year:2018 pages:46-65 extent:20 https://doi.org/10.1016/j.difgeo.2018.04.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_40 GBV_ILN_105 70.00 Sozialwissenschaften allgemein: Allgemeines VZ 71.00 Soziologie: Allgemeines VZ AR 59 2018 46-65 20 045F 510 |
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In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. |
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In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. |
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In this paper, we study almost regular Landsberg general ( α , β ) -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we derive the two cases of Landsberg general ( α , β ) -metrics under the condition that β is closed and conformal with respect to α. Under this condition, we prove that regular Landsberg general ( α , β ) -metrics must be Berwaldian when the dimension is greater than two. For the almost regular case, the way to construct non-Berwaldian Landsberg metrics is found and some new explicit examples are constructed. |
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