On the Yamabe constants of product manifolds
Differential Geometry
2025-11-04 v1
Abstract
By using the fiberwise spherical symmetrization we give a comparison theorem of Yamabe constants on warped products and prove the existence of radially-symmetric Yamabe minimizers on Riemannian manifolds given by products with round spheres.
Keywords
Cite
@article{arxiv.2511.00398,
title = {On the Yamabe constants of product manifolds},
author = {Chanyoung Sung},
journal= {arXiv preprint arXiv:2511.00398},
year = {2025}
}