Contact CR-warped product submanifolds in Kenmotsu space forms

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

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.42, sa.5, ss.1101-1110, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 5
  • Basım Tarihi: 2005
  • Doi Numarası: 10.4134/jkms.2005.42.5.1101
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1101-1110
  • Anahtar Kelimeler: contact CR-submannifold, warped product, Kenmotsu manifold, Kenmotsu space form, IMMERSIONS, MANIFOLDS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.