Derives explicit geometric lower bounds for Hodge Laplacian eigenvalues on specific non-convex domains and manifolds with boundary using Čech-de Rham isomorphism and gluing lemmas, emphasizing the contact radius.
A note on the first nonzero eigenvalue of the L aplacian acting on p -forms
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Lower bounds for the eigenvalues of the Hodge Laplacian on certain non-convex domains
Derives explicit geometric lower bounds for Hodge Laplacian eigenvalues on specific non-convex domains and manifolds with boundary using Čech-de Rham isomorphism and gluing lemmas, emphasizing the contact radius.