On the Yamabe constants of product manifolds

Chanyoung Sung

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arXiv · 2511.00398

On the Yamabe constants of product manifolds

Chanyoung Sung

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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.

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Chanyoung Sung. 2025-11-01. On the Yamabe constants of product manifolds. https://arxiv.org/abs/2511.00398

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