A basic inequality for submanifolds in a cosymplectic space form

Jeong-Sik Kim and Jaedong Choi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9

Abstract:

For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main extrinsic invariant, namely, squared mean curvature on the other side. Some applications, including inequalities between the intrinsic invariant δ M and the squared mean curvature, are given. The equality cases are also discussed.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:573089

DOI: 10.1155/S0161171203202027

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