Invariant structures and gauge transformation of almost contact metric manifolds

Authors : Morteza Mirmohammad Rezaii, Mehrnoosh Zandi

Pages : 1274-1282

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper, conditions for K-contact, Sasakian, and cosymplectic structures to be invariant under gauge transformation are found. Moreover, the same question is studied for 3-Sasakian, 3-almost contact, and 3-cosymplectic manifolds. Finally, it is shown that a slant submanifold of an almost contact metric manifold is invariant by gauge transformation.
Keywords : Gauge transformation, cosymplectic manifold, almost contact 3-structure, 3-Sasakian manifold, 3-cosymplec- tic manifold, slant submanifold