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Xiaoshang Jin

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Preprint Sep 2026

Conformal Ricci Curvature and Spectral Estimates

We derive optimized upper bounds for the first Dirichlet eigenvalue of a bounded domain under lower bounds for the conformal Ricci tensor of Shen and Ye. The method also yields sharp estimates for the bottom spectrum on complete noncompact manifolds, a four-dimensional application involving $Q$-curvature, and local and...

Xiaoshang Jin · 0 citations

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