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 : 0000-00-00

Article Type : Research Paper

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