The conformal Yamabe constant of product manifolds
Differential Geometry
2013-04-08 v3 Analysis of PDEs
Abstract
Let (V,g) and (W,h) be compact Riemannian manifolds of dimension at least 3. We derive a lower bound for the conformal Yamabe constant of the product manifold (V x W, g+h) in terms of the conformal Yamabe constants of (V,g) and (W,h).
Keywords
Cite
@article{arxiv.1103.1826,
title = {The conformal Yamabe constant of product manifolds},
author = {Bernd Ammann and Mattias Dahl and Emmanuel Humbert},
journal= {arXiv preprint arXiv:1103.1826},
year = {2013}
}
Comments
12 pages, to appear in Proc. AMS; v3: small changes, very last preprint version, close to published version