On contact strongly pseudo-convex integrableCR manifolds |
| |
Authors: | Amalendu Ghosh Ramesh Sharma |
| |
Institution: | (1) Department of Pure Mathematics, University of Calcutta, 700019 Calcutta, India;(2) Department of Mathematics, University of New Haven, 06516 West Haven, CT, USA |
| |
Abstract: | It is shown that a locally symmetric contact strongly pseudo-convex integrableCR manifold of dimension greater than 3 and other than 7 is locally isometric to a unit sphere or the Riemannian product of an (n + 1)-dimensional Euclidean space and a sphere. A conformally flat contact strongly pseudo-convex integrableCR manifold is locally isometric to a unit sphere, provided the characteristic vector field is an eigenvector of the Ricci tensor at each point. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|