Affiliation:
1. Aksaray Üniversitesi
2. NECMETTIN ERBAKAN UNIVERSITY
Abstract
The aim of the present paper is to study holomorphically planar conformal vector fields(HPCV) on almost alpha-cosymplectic (k,m)-spaces. This is done assuming various conditions such as i) U is pointwise collinear with xi ( in this case the integral manifold of the distribution D is totally geodesic or totally umbilic), ii) M has a constant xi-sectional curvature (under this condition the integral manifold of the distribution D is totally geodesic (or totally umbilic) or the manifold is isometric to sphere S2n+1(pc) of radius 1 pc ), iii) M an almost alpha-cosymplectic (k,m)-spaces ( in this case the manifold is constant negative curvature or the integral manifold of the distribution D is totally geodesic(or totally umbilic) or U is an eigenvector of h).
Publisher
Fundamental Journal of Mathematics and Applications
Reference16 articles.
1. [1] S. Desmukh, F. Alsolamy, Conformal vector fields on a Riemannian manifold, Balkan J.
Geom. Appl. 19 (2014), 86-93.
2. [2] M. Obata, Conformal transformations of Riemannian manifolds, J. Diff. Geom. 4 (1970),
311-333.
3. [3] S. Tanno, W. Weber, Closed conformal vector fields, J. Di¤. Geom. 3 (1969), 361-366.
[4] R. Sharma, Holomorphically planar conformal vector fields on almost Hermitian manifolds,
Contemp. Math. 337 (2003), 145-154.
4. [5] A. Ghosh, R. Sharma, Almost Hermitian manifolds admitting holomorphically planar con-
formal vector fields, J. Geom., 84 (2005), 45-54.
5. [6] A. Ghosh, Holomorphically planar conformal vector fields on contact metric manifolds, Acta
Math. Hungar., 129 (2010), 357-367.
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