# Positive Ricci curvature through Cheeger deformations

@inproceedings{Cavenaghi2018PositiveRC, title={Positive Ricci curvature through Cheeger deformations}, author={Leonardo Francisco Cavenaghi and Renato J.M. e Silva and Llohann D. Sperancca}, year={2018} }

. This paper is devoted to a deep analysis of the process known as Cheeger deformation, applied to manifolds with isometric group actions. Here, we provide new curvature estimates near singular orbits and present several applications. As the main result, we answer a question raised by a seminal result of Searle–Wilhelm about lifting positive Ricci curvature from the quotient of an isometric action. To answer this question, we develop techniques that can be used to provide a substantially…

## 2 Citations

### The Petersen--Wilhelm conjecture on principal bundles

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. In this paper we study Cheeger deformations on S 3 ,SO (3) principal bundles to obtain conditions to the existence of submersion metrics of positive sectional curvature on these. We conclude, in…

### The concept of Cheeger deformations on fiber bundles with compact structure group

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The purpose of this paper is two-fold: we systematically introduce the notion of Cheeger deformations on fiber bundles with compact structure groups, and recover in a very simple and unified fashion…

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