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A classification of a totally umbilical slant submanifold of cosymplectic manifolds
(Hindawi Publishing Corporation, 2012) Uddin, Siraj; Özel, Cenap; Khan, Viqar Azam
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold M of a cosymplectic manifold (M) over bar is either an anti-invariant submanifold or a 1-dimensional submanifold. We show that every totally umbilical proper slant submanifold of a cosymplectic manifold is totally geodesic.
Warped product CR-submanifolds of Lorentzian ?-Kenmotsu manifolds
(Publications L Institut Mathematique Matematicki, 2012) Uddin, Siraj; Özel, Cenap; Khan, Viqar Azam
We study the geometry of warped product submanifolds of Lorentzian-beta-Kenmotsu manifolds. We obtain a characterization result for CR-warped products.