1. CERTAIN RESULTS ON KENMOTSU PSEUDO-METRIC MANIFOLDS.
- Author
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NAIK, DEVARAJA MALLESHA, VENKATESHA, and PRAKASHA, D. G.
- Subjects
- *
MANIFOLDS (Mathematics) , *SOLITONS , *CURVATURE , *TENSOR algebra , *GEOMETRIC topology - Abstract
In this paper, a systematic study of Kenmotsu pseudo-metric manifolds are introduced. After studying the properties of this manifolds, we provide necessary and sufficient condition for Kenmotsu pseudo-metric manifold to have constant φ-sectional curvature, and prove the structure theorem for ξ-conformally flat and φ-conformally flat Kenmotsu pseudo-metric manifolds. Next, we consider Ricci solitons on this manifolds. In particular, we prove that an η-Einstein Kenmotsu pseudo-metric manifold of dimension higher than 3 admitting a Ricci soliton is Einstein, and a Kenmotsu pseudo-metric 3-manifold admitting a Ricci soliton is of constant curvature ε. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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