Filomat 2010 Volume 24, Issue 1, Pages: 87-95
https://doi.org/10.2298/FIL1001087U
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Warped product CR-submanifolds of LP-cosymplectic manifolds
Uddin Siraj (University of Malaya, Faculty of Science, Institute of Mathematical Sciences, Kuala Lumpur, Malaysia)
In this paper, we study warped product CR-submanifolds of LP-cosymplectic manifolds. We have shown that the warped product of the type M = NT × fN⊥ does not exist, where NT and N⊥ are invariant and anti-invariant submanifolds of an LP-cosymplectic manifold M¯, respectively. Also, we have obtained a characterization result for a CR-submanifold to be locally a CR-warped product. 2010 Mathematics Subject Classifications. 53C15, 53C40, 53C42. .
Keywords: warped product, doubly warped product, contact CR-warped product, LP-cosymplectic manifold