A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Upadhyay, Abhitosh; Turgay, Nurettin

doi:10.1016/j.jmaa.2016.07.053

A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Copy For Citation

Upadhyay A., Turgay N. C.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.444, no.2, pp.1703-1720, 2016 (SCI-Expanded)

Publication Type: Article / Article
Volume: 444 Issue: 2
Publication Date: 2016
Doi Number: 10.1016/j.jmaa.2016.07.053
Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1703-1720
Istanbul Technical University Affiliated: Yes

Abstract

In this paper, we study biconservative hypersurfaces of index 2 in q. We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator with exactly three distinct principal curvatures. We also give an explicit example of biconservative hypersurfaces with four distinct principal curvatures. (C) 2016 Elsevier Inc. All rights reserved.