Article 2025 · 0 citations

Notes on conformal and non-conformal transformation metrics of generalized quasi-Einstein manifolds

Gezer, Aydin, Djaa, Nour Elhouda, De, Uday Chand

Abstract

In this paper, we focus on the characterizations and properties of quasi-Einstein and generalized quasi-Einstein manifolds with certain vector fields. Also we establish the necessary and sufficient conditions for these manifolds to be Ricci semi-symmetric, pseudo-projective Ricci symmetric and pseudo-projective semi-symmetric manifolds. Finally, we investigate the behavior of such manifolds endowed with conformal and non-conformal transformations of metrics.

Keywords

Parallel vector field concurrent vector field Killing potential quasi-Einstein manifold conformal and semi-conformal metrics CURVATURE CONDITIONS

WoS Categories

Physics, Mathematical

Citation

Journal: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
Year: 2025
Volume: 22
Issue: 08
ISSN: 0219-8878
eISSN: 1793-6977
DOI: 10.1142/S0219887825500380
WoS UID: WOS:001385905200001

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