A certain η-parallelism on real hypersurfaces in a nonflat complex space form-Reference-Cited by-同舟云学术

A certain η-parallelism on real hypersurfaces in a nonflat complex space form

Published:2021-12-01 Issue:6 Volume:71 Page:1553-1564
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Okumura Kazuhiro¹

Affiliation:

1. National Institute of Technology , Asahikawa College , Shunkodai 2-2 Asahikawa 071-8142 , Asahikawa , 071-8142 , Japan

Abstract

Abstract In this paper, we give the complete classification of real hypersurfaces in a nonflat complex space form from the viewpoint of the η-parallelism of the tensor field h(= (1/2)𝓛 ξ ϕ). In addition we investigate real hypersurfaces whose tensor h is either Killing type or transversally Killing tensor. In particular, we shall determine Hopf hypersurfaces whose tensor h is transversally Killing tensor by using an application of the classification of real hypersurfaces admitting η-parallelism with respect to the tensor h.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2021-0071/pdf

Reference21 articles.

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