Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds
Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
He, Fei [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2017 |
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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:52 ; year:2017 ; pages:181-200 ; extent:20 |
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| DOI / URN: |
10.1016/j.difgeo.2017.04.007 |
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| 520 | |a Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions in known results. | ||
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10.1016/j.difgeo.2017.04.007 doi GBVA2017015000024.pica (DE-627)ELV030624762 (ELSEVIER)S0926-2245(17)30056-6 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 He, Fei verfasserin aut Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds 2017 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions in known results. Enthalten in Elsevier Science Publ Wolska, E. ELSEVIER Rare earth activated ZnO nanoparticles as biomarkers 2014 Amsterdam [u.a.] (DE-627)ELV012451371 volume:52 year:2017 pages:181-200 extent:20 https://doi.org/10.1016/j.difgeo.2017.04.007 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 52 2017 181-200 20 045F 510 |
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10.1016/j.difgeo.2017.04.007 doi GBVA2017015000024.pica (DE-627)ELV030624762 (ELSEVIER)S0926-2245(17)30056-6 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 He, Fei verfasserin aut Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds 2017 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions in known results. Enthalten in Elsevier Science Publ Wolska, E. ELSEVIER Rare earth activated ZnO nanoparticles as biomarkers 2014 Amsterdam [u.a.] (DE-627)ELV012451371 volume:52 year:2017 pages:181-200 extent:20 https://doi.org/10.1016/j.difgeo.2017.04.007 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 52 2017 181-200 20 045F 510 |
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10.1016/j.difgeo.2017.04.007 doi GBVA2017015000024.pica (DE-627)ELV030624762 (ELSEVIER)S0926-2245(17)30056-6 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 He, Fei verfasserin aut Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds 2017 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions in known results. Enthalten in Elsevier Science Publ Wolska, E. ELSEVIER Rare earth activated ZnO nanoparticles as biomarkers 2014 Amsterdam [u.a.] (DE-627)ELV012451371 volume:52 year:2017 pages:181-200 extent:20 https://doi.org/10.1016/j.difgeo.2017.04.007 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 52 2017 181-200 20 045F 510 |
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Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions in known results. |
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Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions in known results. |
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