Warped products with special Riemannian curvature

被引:11
|
作者
Bertola, M [1 ]
Gouthier, D [1 ]
机构
[1] SISSA, I-34014 Trieste, Italy
来源
关键词
warped product; curvature; Einstein manifold;
D O I
10.1007/BF01238957
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the geometry of particular classes of Riemannian manifolds obtained as warped products. We focus on the case of constant curvature which is completely classified and on the Einstein case. This study provides nontrivial instances of Einstein manifolds which are warped product of Einstein factors.
引用
收藏
页码:45 / 62
页数:18
相关论文
共 50 条
  • [1] Warped products with special Riemannian curvature
    Marco Bertola
    Daniele Gouthier
    [J]. Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society, 2001, 32 : 45 - 62
  • [2] Inverse curvature flows in Riemannian warped products
    Scheuer, Julian
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 276 (04) : 1097 - 1144
  • [3] Finsler warped product metrics with special Riemannian curvature properties
    Huaifu Liu
    Xiaohuan Mo
    Hongzhen Zhang
    [J]. Science China Mathematics, 2020, 63 (07) : 1391 - 1408
  • [4] Finsler warped product metrics with special Riemannian curvature properties
    Liu, Huaifu
    Mo, Xiaohuan
    Zhang, Hongzhen
    [J]. SCIENCE CHINA-MATHEMATICS, 2020, 63 (07) : 1391 - 1408
  • [5] Finsler warped product metrics with special Riemannian curvature properties
    Huaifu Liu
    Xiaohuan Mo
    Hongzhen Zhang
    [J]. Science China Mathematics, 2020, 63 : 1391 - 1408
  • [6] Curvature in special base conformal warped products
    Dobarro, Fernando
    Unal, Bulent
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2008, 104 (01) : 1 - 46
  • [7] Curvature in Special Base Conformal Warped Products
    Fernando Dobarro
    Bülent Ünal
    [J]. Acta Applicandae Mathematicae, 2008, 104 : 1 - 46
  • [8] On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products
    Zhang, Zonglao
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2012, 122 (03): : 385 - 397
  • [9] On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products
    Zonglao Zhang
    [J]. Proceedings - Mathematical Sciences, 2012, 122 : 385 - 397
  • [10] WARPED PRODUCTS IN RIEMANNIAN MANIFOLDS
    Park, Kwang-Soon
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 90 (03) : 510 - 520