A sufficient and sharp criterion for the classical Weyl asymptotic on general complete Riemannian manifolds is the limit of a new invariant c_δ(λ) being zero.
PreprintarXiv:2504.15551, 28 pages
3 Pith papers cite this work. Polarity classification is still indexing.
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Constructs CD(1/2,∞) manifold on R² without Lipschitz transport from centered Gaussian and proves its weighted Laplacian eigenvalues are asymptotically negligible compared to the Gaussian case.
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The classical Weyl law for Schr\"odinger operators on complete Riemannian manifolds
A sufficient and sharp criterion for the classical Weyl asymptotic on general complete Riemannian manifolds is the limit of a new invariant c_δ(λ) being zero.
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Geometric obstructions to Lipschitz transport between weighted Hessian $\mathrm{CD}(\kappa,\infty)$ manifolds
Constructs CD(1/2,∞) manifold on R² without Lipschitz transport from centered Gaussian and proves its weighted Laplacian eigenvalues are asymptotically negligible compared to the Gaussian case.