Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1406-72
Keywords
Gauge transformation, cosymplectic manifold, almost contact 3-structure, 3-Sasakian manifold, 3-cosymplec- tic manifold, slant submanifold
First Page
1274
Last Page
1282
Recommended Citation
REZAII, M. M, & ZANDI, M (2016). Invariant structures and gauge transformation of almost contact metric manifolds. Turkish Journal of Mathematics 40 (6): 1274-1282. https://doi.org/10.3906/mat-1406-72