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- Title
On f-cosymplectic and (k;µ)-cosymplectic Manifolds Admitting Fischer-Marsden Conjecture.
- Authors
MAHADEVAPPA, SANGEETHA; NAGARAJA, HALAMMANAVAR GANGADHARAPPA
- Abstract
The aim of this paper is to study the Fisher-Marsden conjucture in the frame work of f-cosymplectic and (k,µ)-cosymplectic manifolds. First we prove that a compact f-cosymplectic manifold satisfying the Fisher-Marsden equation R'g*=0 is either Einstein manifold or locally product of Kahler manifold and an interval or unit circle S¹. Further we obtain that in almost (k,µ)-cosymplectic manifold with k<0, the Fisher-Marsden equation has a trivial solution.
- Subjects
EINSTEIN manifolds; LOGICAL prediction
- Publication
Kyungpook Mathematical Journal, 2023, Vol 63, Issue 3, p507
- ISSN
1225-6951
- Publication type
Article
- DOI
10.5666/KMJ.2023.63.3.507