Strongly pseudo-convex CR space forms-Reference-Cited by-同舟云学术

Strongly pseudo-convex CR space forms

Published:2019-01-01 Issue:1 Volume:6 Page:279-293
ISSN:2300-7443
Container-title:Complex Manifolds
language:
Short-container-title:

Author:

Cho Jong Taek¹

Affiliation:

1. Department of Mathematics, Chonnam National University, Gwangju61186, Korea

Abstract

AbstractFor a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection. We prove that a strongly pseudo-convex CR space form M is weakly locally pseudo-Hermitian symmetric if and only if (i) dim M = 3, (ii) M is a Sasakian space form, or (iii) M is locally isometric to the unit tangent sphere bundle T1(𝔿n+1) of a hyperbolic space 𝔿n+1 of constant curvature −1.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/downloadpdf/journals/coma/6/1/article-p279.xml

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