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- Title
D-Homothetic Deformation of Normal Almost Contact Metric Manifolds.
- Authors
De, U.; Ghosh, S.
- Abstract
The object of the present paper is to study a transformation called the D-homothetic deformation of normal almost contact metric manifolds. In particular, it is shown that, in a (2 n+1)-dimensional normal almost contact metric manifold, the Ricci operator Q commutes with the structure tensor ϕ under certain conditions, and the operator Qϕ - ϕQ is invariant under a D-homothetic deformation. We also discuss the invariance of η-Einstein manifolds, ϕ-sectional curvature, and the local ϕ-Ricci symmetry under the D-homothetic deformation. Finally, we prove the existence of these manifolds by a concrete example.
- Subjects
MANIFOLDS (Mathematics); DEFORMATIONS (Mechanics); MATHEMATICAL transformations; DIMENSIONAL analysis; OPERATOR theory; MATHEMATICAL symmetry; EINSTEIN manifolds; EXISTENCE theorems
- Publication
Ukrainian Mathematical Journal, 2013, Vol 64, Issue 10, p1514
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-013-0732-7