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Chen Inequalities for Submanifolds of Real Space Forms with a Semi-Symmetric Non-Metric Connection

  Published:2011-05-30
 Printed: Sep 2012
  • Cihan Özgür,
    Balıkesir University, Department of Mathematics, 10145, Çağış, Balıkesir, Turkey
  • Adela Mihai,
    University of Bucharest, Faculty of Mathematics and Computer Science, Department of Mathematics, Academiei 14, 010014 Bucharest, Romania
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Abstract

In this paper we prove Chen inequalities for submanifolds of real space forms endowed with a semi-symmetric non-metric connection, i.e., relations between the mean curvature associated with a semi-symmetric non-metric connection, scalar and sectional curvatures, Ricci curvatures and the sectional curvature of the ambient space. The equality cases are considered.
Keywords: real space form, semi-symmetric non-metric connection, Ricci curvature real space form, semi-symmetric non-metric connection, Ricci curvature
MSC Classifications: 53C40, 53B05, 53B15 show english descriptions Global submanifolds [See also 53B25]
Linear and affine connections
Other connections
53C40 - Global submanifolds [See also 53B25]
53B05 - Linear and affine connections
53B15 - Other connections
 

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