Homogeneous Einstein–Randers spaces of negative Ricci curvature

Shaoqiang Deng; Zixin Hou

doi:10.1016/j.crma.2009.08.006

Geometry

Homogeneous Einstein–Randers spaces of negative Ricci curvature

Presented by: Jean-Pierre Demailly

Shaoqiang Deng ¹; Zixin Hou ¹

¹ School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, PR China

Comptes Rendus. Mathématique, Volume 347 (2009) no. 19-20, pp. 1169-1172.

Abstract (Original language)
Résumé

We prove that a homogeneous Einstein–Randers space with negative Ricci curvature must be Riemannian.

Nous prouvons que l'espace Einstein–Randers homogéne avec courbure de Ricci négative doit être Riemannian.

Received: 2009-07-06
Accepted: 2009-08-25
Published online: 2009-09-10

DOI: 10.1016/j.crma.2009.08.006

Author's affiliations:

Shaoqiang Deng ¹; Zixin Hou ¹

¹ School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, PR China

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     author = {Shaoqiang Deng and Zixin Hou},
     title = {Homogeneous {Einstein{\textendash}Randers} spaces of negative {Ricci} curvature},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1169--1172},
     publisher = {Elsevier},
     volume = {347},
     number = {19-20},
     year = {2009},
     doi = {10.1016/j.crma.2009.08.006},
     language = {en},
}

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Shaoqiang Deng; Zixin Hou. Homogeneous Einstein–Randers spaces of negative Ricci curvature. Comptes Rendus. Mathématique, Volume 347 (2009) no. 19-20, pp. 1169-1172. doi : 10.1016/j.crma.2009.08.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.08.006/

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Cited by Sources:

^☆ Supported by NSFC of China (No. 10671096).

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