Article ID Journal Published Year Pages File Type
1894591 Journal of Geometry and Physics 2007 8 Pages PDF
Abstract
We prove some inequalities relating intrinsic and extrinsic curvature invariants for invariant submanifolds of Kaehlerian and Sasakian space forms. When we restrict to invariant submanifolds of odd-dimensional unit spheres or invariant submanifolds of complex Euclidean space, one of the inequalities gives a positive answer to a conjecture, proposed in [P.J. De Smet, F. Dillen, L. Verstraelen, L. Vrancken, A pointwise inequality in submanifold theory, Arch. Math. (Brno) 35 (1999) 115-128].
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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