Invariant submanifolds of contact (k,μ)-manifolds

CAPPELLETTI MONTANO, BENIAMINO;DI TERLIZZI L;TRIPATHI M. M.

2008-01-01

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Abstract

Invariant submanifolds of contact (, )-manifolds are studied. Our main result is that any invariant submanifold of a non-Sasakian contact (, )-manifold is always totally geodesic and, conversely, every totally geodesic submanifold of a non-Sasakian contact (, )-manifold, 0, such that the characteristic vector field is tangent to the submanifold is invariant. Some consequences of these results are then discussed.