Generalized Sasakian Space Forms and Riemannian Manifolds of Quasi Constant Sectional Curvature

详细信息    查看全文

• 作者：Avik De ; Tee-How Loo
• 关键词：Generalized Sasakian space forms ; generalized complex space forms ; canal hypersurfaces ; Riemannian manifolds of quasi constant sectional curvature ; trans ; Sasakian manifolds
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：13
• 期：6
• 页码：3797-3815
• 全文大小：593 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454
• 卷排序：13

文摘

In this paper, we show that a generalized Sasakian space form of dimension >3 is either of constant sectional curvature, or a canal hypersurface in Euclidean or Minkowski spaces, or locally a certain type of twisted product of a real line and a flat almost Hermitian manifold, or locally a warped product of a real line and a generalized complex space form, or an \({\alpha}\)-Sasakian space form, or it is of five dimension and admits an \({\alpha}\)-Sasakian Einstein structure. In particular, a local classification for generalized Sasakian space forms of dimension >5 is obtained. A local classification of Riemannian manifolds of quasi constant sectional curvature of dimension >3 is also given in this paper.