Results 71 to 80 of about 18,512 (114)

A Classification theorem on totally umbilical submanifolds in a cosymplectic manifold

, 2012
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

Tokyo Journal of Mathematics, 1997
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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Totally Umbilical Submanifolds in Sasakian Manifolds

Totally Umbilical Submanifolds in Sasakian Manifolds
Departmental Bulletin ...
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On a pseudo umbilical submanifold in a Riemannian manifold of constant curvature

, 1973
M. Morohashi
semanticscholar   +1 more source

ON TOTALLY UMBILICAL SUBMANIFOLDS OF CARTAN-SYMMETRIC MANIFOLDS

Demonstratio Mathematica, 1976
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On totally umbilical submanifolds of a locally Minkowski manifold

Collectanea Mathematica, 1992
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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Totally umbilical submanifolds of a Kaehlerian manifold

Journal of the Mathematical Society of Japan, 1967
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Totally Contact Umbilical Submanifolds in Sasakian Manifolds

Totally Contact Umbilical Submanifolds in Sasakian Manifolds
Departmental Bulletin ...
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Totally umbilical submanifolds in normal contact Riemannian Manifolds

Hokkaido Mathematical Journal, 1972
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Totally Umbilical Slant Submanifolds of S - Manifolds

In this paper, we study slant submanifolds of S-manifolds which are totally umbilical. We show that every totally umbilical proper slant submanifold of a S-manifold is either totally geodesic or if submanifold is not totally geodesic then we derive a formula for slant angle.
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