Published January 1, 2010 | Version v1
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CHEN INEQUALITIES FOR SUBMANIFOLDS OF REAL SPACE FORMS WITH A SEMI-SYMMETRIC METRIC CONNECTION

  • 1. Univ Bucharest, Fac Math, Bucharest 010014, Romania
  • 2. Univ Balikesir, Dept Math, TR-10145 Cagis, Balikesir, Turkey

Description

In this paper we prove Chen inequalities for submanifolds of real space forms 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. The equality cases are considered.

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