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- Title
Some new results on real hypersurfaces with generalized Tanaka-Webster connection.
- Authors
Wang, Wenjie; Liu, Ximin
- Abstract
Let M be a real hypersurface in nonflat complex space forms of complex dimension two. In this paper, we prove that the shape operator of M is transversally Killing with respect to the generalized Tanaka-Webster connection if and only if M is locally congruent to a type (A) or (B) real hypersurface. We also prove that shape operator of M commutes with Cho operator on holomorphic distribution if and only if M is locally congruent to a ruled real hypersurface.
- Subjects
HYPERSURFACES; MANIFOLDS (Mathematics); HOLOMORPHIC functions; H-spaces; RIEMANNIAN manifolds
- Publication
Mathematica Slovaca, 2019, Vol 69, Issue 3, p665
- ISSN
0139-9918
- Publication type
Article
- DOI
10.1515/ms-2017-0255