CHEN INEQUALITIES FOR SUBMANIFOLDS OF A LOCALLY CONFORMAL ALMOST COSYMPLECTIC MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION


ÖZGÜR C., MURATHAN C.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.18, sa.1, ss.239-253, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2010
  • Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.239-253
  • Anahtar Kelimeler: Semi-symmetric metric connection, Chen inequality, Kenmotsu space form, Ricci curvature, RIEMANNIAN MANIFOLD, RICCI CURVATURE, SPACE
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper we prove Chen inequalities for submanifolds of a locally conformal almost cosymplectic manifold N2m+1(c) of constant phi-sectional curvature c endowed with a semi-symmetric metric connection, i.e., relations between the mean curvature associated with the semi-symmetric metric connection, scalar and sectional curvatures, Ricci curvatures and the sectional curvature of the ambient space.