Results 71 to 80 of about 126 (113)

A Classification theorem on totally umbilical submanifolds in a cosymplectic manifold

open access: yes, 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
openaire   +2 more sources

Totally Real Pseudo-Umbilical Submanifolds of a Complex Projective Space

open access: yesTokyo 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 ...
openaire   +3 more sources

Totally Umbilical Submanifolds in Sasakian Manifolds

open access: yesTotally Umbilical Submanifolds in Sasakian Manifolds
Departmental Bulletin ...
openaire   +1 more source

On totally umbilical submanifolds of a locally Minkowski manifold

open access: yesCollectanea 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 ...
openaire   +2 more sources

Homology groups in CR-warped products of complex space forms. [PDF]

open access: yesHeliyon
Li Y   +4 more
europepmc   +1 more source

Totally Contact Umbilical Submanifolds in Sasakian Manifolds

open access: yesTotally Contact Umbilical Submanifolds in Sasakian Manifolds
Departmental Bulletin ...
openaire   +1 more source

Doubly Totally-Umbilical Statistical Submanifolds in the Probability Simplex

open access: yes
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.
openaire   +2 more sources

Home - About - Disclaimer - Privacy