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Chen inequalities for submanifolds of a locally conformal almost cosymplectic manifold with a semi-symmetric metric connection

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Murathan, Cengizhan

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Özgür, Cihan

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Ovidius University Press

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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.

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Mathematics Subject Classification: 53C40.
Mathematics Subject Classification: 53B05.
Mathematics Subject Classification: 53B15.

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Keywords

Semi-symmetric metric connection, Chen inequality, Kenmotsu space form, Ricci curvature, Riemannian manifold, Space, Mathematics

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Özgür, C. ve Murathan, C. (2010). "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, 18(1), 239-253.

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