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arXiv · 2606.12063

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound

Weiqi Zhang·Yashan Zhang
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Abstract

We prove Sobolev-type inequality and local volume noncollapsing with optimal exponents for compact K\"ahler manifolds of uniformly bounded $q$-Nash entropy.

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Weiqi Zhang, Yashan Zhang. 2026-06-10. Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound. https://arxiv.org/abs/2606.12063

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