Invariant structures and gauge transformation of almost contact metric manifolds | Zendy

Morteza Mirmohammad Rezaii | Zendy; Mehrnoosh ZANDI | Zendy

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Invariant structures and gauge transformation of almost contact metric manifolds

Author(s) -

Morteza Mirmohammad Rezaii,

Mehrnoosh ZANDI

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1406-72

Subject(s) - mathematics , submanifold , invariant (physics) , transformation group , pure mathematics , manifold (fluid mechanics) , transformation (genetics) , metric (unit) , gauge (firearms) , gauge theory , mathematical analysis , contact geometry , mathematical physics , geometry , operations management , economics , mechanical engineering , history , biochemistry , chemistry , archaeology , engineering , gene

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.

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