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A basic inequality for submanifolds in a cosymplectic space form

Jeong-Sik Kim·Jaedong Choi
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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

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Jeong-Sik Kim, Jaedong Choi. 2002-06-04. A basic inequality for submanifolds in a cosymplectic space form. https://arxiv.org/abs/math-ph/0206002

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