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arXiv · 2509.09038

On the first eigenvalue of the Hodge Laplacian of submanifolds

Christos-Raent Onti
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Abstract

We prove that equality in a sharp lower bound for the first $p$-eigenvalue of the Hodge Laplacian on closed submanifolds in space forms can occur only on topological spheres, assuming positivity.

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Christos-Raent Onti. 2025-09-10. On the first eigenvalue of the Hodge Laplacian of submanifolds. https://doi.org/10.2140/pjm.2026.342.381

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