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Mathematics > Differential Geometry

Title: Optimal lower estimate for the first eigenvalue of the p-Laplacian

Authors: Matheus Nunes Soares, Fábio Reis do Santos
(Submitted on 23 Mar 2024)
Abstract: An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.
Comments: Suggestions are welcomed! arXiv admin note: text overlap with arXiv:2403.06081
Subjects: Differential Geometry (math.DG)
Cite as: arXiv:2403.15964 [math.DG]
  (or arXiv:2403.15964v1 [math.DG] for this version)

Submission history

From: Matheus Nunes Soares [view email]
[v1] Sat, 23 Mar 2024 23:56:17 GMT (8kb)
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