A classification of biconservative hypersurfaces in a pseudo-Euclidean space


Upadhyay A., Turgay N. C.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.444, ss.1703-1720, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 444 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.jmaa.2016.07.053
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.1703-1720

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.