Fei He

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20242026

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math.DG2026

Spectral bounds for $f$ -Laplace-type operators with applications to Betti numbers on gradient Ricci shrinkers

Fei He

We study the spectrum of the $f$ -Laplacian on complete gradient Ricci shrinkers. Upper and lower bounds for the $k$ -th eigenvalue are established in terms of the volume growth rate…

math.DG2026

Topology of gradient Ricci shrinkers via weighted $L^{2}$ cohomology

Fei He

This paper proves several topological results for smooth gradient Ricci shrinkers. We establish upper bounds for the Betti numbers, a vanishing theorem for cohomology, and a dichot…

Spectral bounds for f-Laplace-type operators with applications to Betti numbers on gradient Ricci shrinkers

Topology of gradient Ricci shrinkers via weighted L2 cohomology

Spectral bounds for $f$ -Laplace-type operators with applications to Betti numbers on gradient Ricci shrinkers

Topology of gradient Ricci shrinkers via weighted $L^{2}$ cohomology