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, vol.18, no.1, pp.239-253, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2010
  • Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.239-253
  • Keywords: Semi-symmetric metric connection, Chen inequality, Kenmotsu space form, Ricci curvature, RIEMANNIAN MANIFOLD, RICCI CURVATURE, SPACE
  • Bursa Uludag University Affiliated: Yes

Abstract

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.