Holomorphically Planar Conformal Vector Field On Almost $\\alpha $-Cosymplectic $(\\kappa ,\\mu )-$ Spaces

Authors : Mustafa YILDIRIM, Nesip AKTAN

Pages : 35-41

Doi:10.33401/fujma.1153224

View : 16 | Download : 7

Publication Date : 2023-03-29

Article Type : Research Paper

Abstract :The aim of the present paper is to study holomorphically planar conformal vector insert ignore into journalissuearticles values(HPCV); fields on almost α − α− cosymplectic insert ignore into journalissuearticles values( κ , μ ); − insert ignore into journalissuearticles values(κ,μ);− spaces. This is done assuming various conditions such as i); U U is pointwise collinear with ξ ξ insert ignore into journalissuearticles values( in this case, the integral manifold of the distribution D D is totally geodesic, or totally umbilical);, ii); M M has a constant ξ − ξ− sectional curvature insert ignore into journalissuearticles values(under this condition the integral manifold of the distribution D D is totally geodesic insert ignore into journalissuearticles values(or totally umbilical); or the manifold is isometric to sphere S 2 n + 1 insert ignore into journalissuearticles values( √ c ); S2n+1insert ignore into journalissuearticles values(c); of radius 1 √ c 1c );, iii); M M an almost α − α− cosymplectic insert ignore into journalissuearticles values( κ , μ ); − insert ignore into journalissuearticles values(κ,μ);− spaces insert ignore into journalissuearticles values( in this case the manifold has constant curvature, or the integral manifold of the distribution D D is totally geodesicinsert ignore into journalissuearticles values(or totally umbilical); or U U is an eigenvector of h ); . h);.
Keywords : Almost \\alpha cosymplectic \\kappa, \\mu, spaces, \\alpha cosymplectic manifold, Hpcv field