Contact CR-warped product submanifolds in Kenmotsu space forms

Arslan K., Ezentas R., Mihai I., Murathan C.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.42, no.5, pp.1101-1110, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 5
  • Publication Date: 2005
  • Doi Number: 10.4134/jkms.2005.42.5.1101
  • Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1101-1110
  • Keywords: contact CR-submannifold, warped product, Kenmotsu manifold, Kenmotsu space form, IMMERSIONS, MANIFOLDS
  • Bursa Uludag University Affiliated: Yes

Abstract

Recently, Chen studied warped products which are CR-submanifolds in Kaehler manifolds and established general sharp inequalities for CR-warped products in Kaehler manifolds. In the present paper, we obtain sharp estimates for the squared norm of the second fundamental form (an extrinsic invariant) in terms of the warping function for contact CR-warped products isometrically immersed in Kenmotsu space forms. The equality case is considered. Some applications are derived.