Abstract
Generalized quasi-Einstein manifolds on 4-dimensional manifolds admitting a metric whose signature is one of the only possibilities \((+, +, - , -)\), \((+, +, + , -)\) and \((+, +, +, +)\) are based on the holonomy group of the Levi-Civita connection associated with the metric. By considering the possible Lie algebras which are known for all signatures, the holonomy types permitting generalized quasi-Einstein manifolds are determined using some computational methods and the Ambrose–Singer theorem.
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Schedule a callMore From: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
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