Lichnerowicz-type equations on complete manifolds
Analysis of PDEs
2015-08-28 v1 General Relativity and Quantum Cosmology
Differential Geometry
Abstract
Under appropriate spectral assumptions we prove two existence results for positive solutions of Lichnerowicz-type equations on complete manifolds. We also give a priori bounds and a comparison result that immediately yields uniqueness for certain classes of solutions. No curvature assumptions are involved in our analysis.
Cite
@article{arxiv.1508.06839,
title = {Lichnerowicz-type equations on complete manifolds},
author = {Guglielmo Albanese and Marco Rigoli},
journal= {arXiv preprint arXiv:1508.06839},
year = {2015}
}
Comments
33 pages, submitted