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arXiv · 2505.05904

Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics

Jean-Claude Cuenin·Ngoc Nhi Nguyen·Xiaoyan Su
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Abstract

We establish $L^q$ spectral cluster bounds for families of orthonormal functions associated to the Laplace-Beltrami operator on a compact Riemannian manifold. The metric is only assumed to be of class $C^s$, where $0\leq s\leq 2$.

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Jean-Claude Cuenin, Ngoc Nhi Nguyen, Xiaoyan Su. 2025-05-09. Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics. https://arxiv.org/abs/2505.05904

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