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Volume :33 Issue : 2 2006
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Normal semi-invariant submanifolds of paraquaternionic Kahler manifolds
Auther : AUREL BEJANU
Department of Mathematics and Computer Science, Kuwait University
PO Box: 5969, Safat, 13060, Kuwait
ABSTRACT
We introduce normal semi-invariant submanifolds of paraquarternionic Kahler manifolds and present the main reuslts on their differential geometry. We obtain necesssary and suficient conditions for the integrability of the distributions defined on a normal semi-invariant submanifold. Also, we give characterizations of local (global) normal semi-invariant products.
Keywords: Distribution on a manifold; foliation; normal semi-invariant submanifold; paraquaternionic Kahler manifold