3 papers
math.AP2023
Heat-type equations on manifolds with fibered boundaries II: Parametrix construction
Bruno Caldeira, Giuseppe Gentile
This is the second part of a two parts work on the analysis of heat-type equations on manifolds with fibered boundary equipped with a -metric. This setting generalizes the asymp…
math.AP2022
Heat-type equations on manifolds with fibered boundary I: Schauder estimates
Bruno Caldeira, Giuseppe Gentile
In this paper we prove parabolic Schauder estimates for the Laplace-Beltrami operator on a manifold with fibered boundary and a -metric . This setting generalizes the a…
math.DG2021
Normalized Yamabe flow on manifolds with bounded geometry
Bruno Caldeira, Luiz Hartmann, Boris Vertman
The goal of this paper is to study Yamabe flow on a complete Riemannian manifold of bounded geometry with possibly infinite volume. In the case of infinite volume, standard volume…