A Reilly type integral formula and its applications

2022/01/24 by Guangyue Huang, Huang, Guangyue, Bingqing Ma +3 · 2 citations
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Inequalities and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2201.09439

openalex publication_date 2022/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we achieve a Reilly type integral formula associated with the ϕ-Laplacian. As its applications, we obtain Heintze-Karcher and Minkowski type inequalities. Furthermore, almost Schur lemmas are also given. They recover the partial results of Li and Xia in [15]. On the other hand, we also study eigenvalue problem for Wentzell boundary conditions and obtain eigenvalue relationships.

Cited by

• A weighted Reilly type integral formula for differential forms and its applications
• Choi-Wang inequality for affine connections

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