학술논문
A Result of Rigidity for Ricci-Flat Warped Products.
Document Type
Article
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Source
Subject
Language
ISSN
1678-7544
Abstract
In this work we prove a result of rigidity on Ricci-flat semi-Riemannian warped products when the base is locally conformally flat with scalar curvature zero and invariant by the action of the pseudo-orthogonal group. We obtain that in these manifolds the fiber must be 1-dimensional. As an application, every metric with these characteristics is a generalized Schwarzschild metric. [ABSTRACT FROM AUTHOR]