CHEN INEQUALITIES FOR SUBMANIFOLDS OF A LOCALLY CONFORMAL ALMOST COSYMPLECTIC MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, vol.18, no.1, pp.239-253, 2010 (SCI-Expanded, Scopus)
- 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.