69 citations · 78 across the 7 of their papers we have counts for
5 papers · 1 filter
Hearing Exotic Smooth Structures
Leonardo F. Cavenaghi, João Marcos do Ó, Llohann D. Sperança
This paper explores the existence and properties of \emph{basic} eigenvalues and eigenfunctions associated with the Riemannian Laplacian on closed, connected Riemannian manifolds f…
Fatness and positive curvatures on Riemannian submersions
Leonardo F. Cavenaghi, Lino Grama, Llohann D. Sperança
Guided by rather counterintuitive properties of \emph{dual holonomy fields}, we introduce different notions of \emph{fatness} for Riemannian submersions. We introduce \emph{integra…
Positive Ricci curvature on fiber bundles with compact structure group
Leonardo Francisco Cavenaghi, Llohann Dallagnol Sperança
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 c…
Positive Ricci curvature through Cheeger deformations
Leonardo F. Cavenaghi, Renato J. M. e Silva, Llohann D. Sperança
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 ne…
The concept of Cheeger deformations on fiber bundles with compact structure group
Leonardo F. Cavenaghi, Lino Grama, Llohann D. Sperança
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 a…