Ricci Generalized Pseudo-Parallel Kaehlerian Submanifolds in Complex Space Forms

Yildiz A., MURATHAN C.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.31, sa.2, ss.153-163, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 2
  • Basım Tarihi: 2008
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.153-163
  • Anahtar Kelimeler: Pseudosymmetry type manifolds, semisymmetric manifolds, hypersurfaces, pseudo-parallel, Ricci generalized pseudo-parallel, Kaehlerian submanifolds, HYPERSURFACES, CURVATURE
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Let (M) over cap (m)(c) be a complex m-dimensional space form of holomorphic sectional curvature c and M-n be a complex n-dimensional Kaehlerian submanifold of (M) over cap (m) (c). We prove that if M-n is Ricci generalized pseudo-parallel,, then either M-n is totally geodesic, or parallel to h parallel to(2) = -2/3 (LT - 1/2 (n + 2)c), or at some point x of M-n, parallel to h parallel to(2) (x) > -2/3 (L(x)T(x) - 1/2 (n + 2)c).