Work

Eigenvalue estimates and applications on weighted manifolds

Year: 2024

Type: preprint

Abstract: We will present an estimate for the first eigenvalue of the Dirichlet and Neumann problems in terms of the Bakry-Émery Ricci curvature for a compact weighted manifold. As an application we will establish a stability condition for a h-minimal hypersurface.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2412.09396

Authors: Bezerra, A. C., Silva, T. Castro, Manfio, F.

Institutions: Universidade de Brasília, Universidade de São Paulo

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Instituto Federal Goiás

Awards: G1500779417, Modern methods in differential geometry and geometric analysis

OpenAlex ID: W4405355237

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