Einstein multiply warped products and generalized Kasner manifolds with multidimensional base
Fernando Dobarro, Carolina Rey
TL;DR
This paper investigates conditions under which Einstein multiply warped products, especially generalized Kasner manifolds, can exist, providing criteria and estimates for their Einstein parameters.
Contribution
It offers new conditions and estimates for the existence of Einstein multiply warped products of generalized Kasner type.
Findings
Derived existence conditions for Einstein multiply warped products.
Provided estimates of Einstein parameters influencing metric existence.
Focused on generalized Kasner manifolds with multidimensional bases.
Abstract
The purpose of this paper is to provide conditions for the existence or non existence of non trivial Einstein multiply warped products, specially of generalised Kasner type; as well as to show estimates of the Einstein parameter that condition the existence of such metrics.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Algebra and Geometry