Work

A Gage-type estimate for the $p$-fundamental tone and applications to submanifolds

Year: 2026

Type: preprint

Abstract: A generalization of the classical Gage's upper bound for the fundamental tone of the Laplacian on complete non-compact Riemannian manifolds to the $p$-Laplacian context is obtained. As an application, upper estimates for the $p$-fundamental tone of complete non-compact submanifolds of space forms with constant nonpositive sectional curvature, and for a class of product spaces, are presented.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.21877

Authors: Soares, Matheus Nunes, Santos, Fábio reis dos

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Universidade Federal de Pernambuco

Award: G3383999570

OpenAlex ID: W7213890147

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