Bibliographic Details
| Title: |
ON φ-CONHARMONICALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS. |
| Authors: |
RAO, I. V. VENKATESWARA1 venkat_inturi@rediffmail.com, DEVI, S. SUNITHA2 sunithamallakula@yahoo.com, PRASAD, K. L. SAI3 klsprasad@yahoo.com |
| Source: |
Reliability: Theory & Applications. Mar2024, Vol. 19 Issue 1, p764-769. 6p. |
| Subjects: |
Lorentzian function, Einstein manifolds, Isomorphism (Mathematics) |
| 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). [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
