We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
ON φ-CONHARMONICALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS.
- Authors
RAO, I. V. VENKATESWARA; DEVI, S. SUNITHA; PRASAD, K. L. SAI
- Abstract
The present paper deals with a class of Lorentzian almost paracontact metric manifolds namely Lorentzian para-Kenmotsu (briefly LP-Kenmotsu) manifolds. We study and have shown that a quasi-conformally flat Lorentzian para-Kenmotsu manifold is locally isomorphic with a unit sphere Sn(1). Further it is shown that an LP-Kenmotsu manifold which is φ-conharmonically flat is an η-Einstein manifold with the zero scalar curvature. At the end, we have shown that a φ-projectively flat LP-Kenmotsu manifold is an Einstein manifold with the scalar curvature r = n(n - 1).
- Subjects
LORENTZIAN function; EINSTEIN manifolds; ISOMORPHISM (Mathematics)
- Publication
Reliability: Theory & Applications, 2024, Vol 19, Issue 1, p764
- ISSN
1932-2321
- Publication type
Article