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arXiv · 1911.03608

Positive Ricci curvature on fiber bundles with compact structure group

Leonardo Francisco Cavenaghi·Llohann Dallagnol Sperança
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Abstract

The aim of this paper is to present a direct and simple proof of a result concerning the existence of metrics of positive Ricci curvature on the total space of fiber bundles with compact structure groups. In particular, it also generalizes and puts in a unified framework the results in Nash \cite{nash} and Poor \cite{poor}. With the intention of disseminating this result, we apply it to build new examples of manifolds with positive Ricci curvature, including bundles whose base consists of gradient shrinking Ricci solitons.

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BibTeXRIS

Leonardo Francisco Cavenaghi, Llohann Dallagnol Sperança. 2019-11-09. Positive Ricci curvature on fiber bundles with compact structure group. https://doi.org/10.1515/advgeom-2021-0007

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