Abstract
In \cite{Cab}, Cabras, Ianus and Pitis proved that in a cosymplectic manifold there does not exist any extrinsic sphere tangent to the structure vector field $\xi$. We consider the structure vector field $\xi$ normal to the submanifold in the sense of Papaghiuc \cite{Pap} and derive that a totally umbilical CR-submanifold of a cosymplectic manifold is either (i)~totally geodesic, (ii)~anti-invariant or (iii)~an extrinsic sphere.
Citation
Siraj Uddin. Viqar Azam Khan. Cenap Ozel. "Classification of totally umbilical $\xi^\perp$ CR-submanifolds of cosymplectic manifolds." Rocky Mountain J. Math. 45 (1) 361 - 369, 2015. https://doi.org/10.1216/RMJ-2015-45-1-361
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