WARPED PRODUCT SEMI-SLANT SUBMANIFOLDS OF A LOCALLY PRODUCT RIEMANNIAN MANIFOLD


Sahin B.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.46, ss.169-184, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 46 Konu: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1556/sscmath.46.2009.2.1086
  • Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Sayfa Sayıları: ss.169-184

Özet

In [20], it was shown that there are no warped product semi-slant submanifolds of Kaehler manifolds. In this paper, we show that there exists a class of non-trivial warped product semi-slant submanifolds of a locally product Riemannian manifold contrary to Kaehlerian case. Then, we give a characterization, an example and investigate the geometry of warped product semi-slant submanifolds in a locally product Riemannian manifold.