Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold

Tastan H. M.

TURKISH JOURNAL OF MATHEMATICS, cilt.39, sa.4, ss.453-466, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3906/mat-1503-56
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.453-466
  • İstanbul Üniversitesi Adresli: Evet

Özet

We introduce warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold. We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product. We also establish an inequality between the warping function and the squared norm of the second fundamental form for such submanifolds. The equality case is also discussed.