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Title: Conformal mappings of mixed generalized quasi-Einstein manifolds admitting special vector fields
Authors: Dey, Subhrajyoti
Bhattacharyya, Arindam
Keywords: Mixed generalized quasi-Einstein manifolds;φ(Ric)-vector field;Concircular vector field;Codazzi tensor;Conformal mapping;Conharmonic mapping;ν(Ric)-vector field;σ(Ric)-vector field;Múltiples cuasi-Einstein mixtos;Campo vectorial concircular;φ (Ric) –vector campo;Tensor Codazzi;Mapeo conformal;Mapeo conarmónico;σ (Ric) –vector campo;ν (Ric) –vector campo;Campo vectorial
Issue Date: 2017
Publisher: Universidad de Extremadura
Abstract: It is known that Einstein manifolds form a natural subclass of the class of quasi-Einstein manifolds and plays an important role in geometry as well as in general theory of relativity. In this work, we investigate conformal mapping of mixed generalized quasi- Einstein manifolds, considering a conformal mapping between two mixed generalized quasi- Einstein manifolds Vn and V ̅n. We also find some properties of this transformation from Vn to V ̅n and some theorems are proved. Considering this mapping, we peruse some properties of these manifolds. Later, we also study some special vector fields under these mapping on this manifolds and some theorems about them are proved.
Appears in Collections:Extracta Mathematicae Vol. 32, nº 2 (2017)

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