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

Atıf İçin Kopyala

Upadhyay A., Turgay N. C.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.444, sa.2, ss.1703-1720, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 444 Sayı: 2
Basım Tarihi: 2016
Doi Numarası: 10.1016/j.jmaa.2016.07.053
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1703-1720
İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.