A basic inequality for submanifolds in a cosymplectic space form

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dc.creatorKim, Jeong-Sik
dc.creatorChoi, Jaedong
dc.date2002-06-04
dc.date.accessioned2026-07-07T04:29:14Z
dc.date.available2026-07-07T04:29:14Z
dc.descriptionFor 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
dc.descriptionLatex 9 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0206002
dc.identifierhttp://arxiv.org/abs/math-ph/0206002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57079
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject53C40, 53D15
dc.titleA basic inequality for submanifolds in a cosymplectic space form
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