Generalized warped products and the $\kappa$-nullity of Riemannian curvature

Claudio Gorodski; Felippe Guimarães

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arXiv · 2204.05790

Generalized warped products and the $\kappa$-nullity of Riemannian curvature

Claudio Gorodski·Felippe Guimarães

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Abstract

In this short survey, we show how two (classes of) known examples of inhomogeneous, curvature homogeneous Riemannian manifolds with nontrivial $\kappa$-nullity can be seen as deformations of homogeneous metrics along the vertical distribution of an integrable Riemannian submersion. We also pose two open questions.

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Claudio Gorodski, Felippe Guimarães. 2022-04-12. Generalized warped products and the $\kappa$-nullity of Riemannian curvature. https://arxiv.org/abs/2204.05790

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