Results 71 to 80 of about 126 (113)
A Classification theorem on totally umbilical submanifolds in a cosymplectic manifold
In the present paper, we study totally umbilical submanifolds of cosymplectic manifolds. We obtain a result on the classification of totallyumbilical contact CR-submanifolds of a cosymplectic manifold.
UDDİN, Siraj, OZEL, Cenap
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Totally Real Pseudo-Umbilical Submanifolds of a Complex Projective Space
Let \(M\) be an \(n\)-dimensional totally real submanifold of complex projective space \(\mathbb{C} P^n\) and \(\zeta\) the mean curvature vector field of \(M\). If the second fundamental form \(h\) of \(M\) satisfies \(\langle h(X, Y),\zeta\rangle= \lambda\langle X,Y\rangle\) for all tangent vectors \(X\), \(Y\) of \(M\) and for some function ...
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Geometric inequalities for warped product bi-slant submanifolds with a warping function. [PDF]
Siddiqui AN, Shahid MH, Lee JW.
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Gap phenomenon of an abstract Willmore type functional of hypersurface in unit sphere. [PDF]
Zhu Y, Liu J, Wu G.
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Totally Umbilical Submanifolds in Sasakian Manifolds
Departmental Bulletin ...
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On totally umbilical submanifolds of a locally Minkowski manifold
The complete totally umbilical (c.t.u.) submanifolds (whose induced and intrinsic connections coincide) of Finslerian manifolds are examined. Some results are the following: Any c.t.u. hypersurface \(M^ n\) of a locally Minkowski manifold has diameter \(\leq \pi/ \alpha_ 0\); for \(n=2\), \(M^ 2\) is totally geodesic or \(M^ 2\) is a Finsler space of ...
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Homology groups in CR-warped products of complex space forms. [PDF]
Li Y +4 more
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Totally umbilical submanifolds of a Kaehlerian manifold
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Totally Contact Umbilical Submanifolds in Sasakian Manifolds
Departmental Bulletin ...
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Doubly Totally-Umbilical Statistical Submanifolds in the Probability Simplex
We give a complete classification of doubly totally-umbilical submanifolds in the probability simplex. The probability simplex is one of the most standard statistical manifolds, and information geometry initiated by S. Amari and H. Nagaoka studies the statistical submanifold theory of the probability simplex. On the other hand, H.
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