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

Published online by Cambridge University Press:  20 November 2018

Cihan Özgür  and
Adela Mihai
Cihan Özgür
Affiliation:
Balιkesir University, Department of Mathematics, 10145, Çağş, Balιkesir, Turkeye-mail: [email protected]
Adela Mihai
Affiliation:
University of Bucharest, Faculty of Mathematics and Computer Science, Department of Mathematics, Academiei 14, 010014 Bucharest, Romaniae-mail: adela [email protected]
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Abstract

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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

53C4053B0553B15real space formsemi-symmetric non-metric connectionRicci curvature
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 3 , 01 September 2012 , pp. 611 - 622
Copyright
Copyright © Canadian Mathematical Society 2012

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