Manifolds with weighted Poincaré inequality and uniqueness of minimal hypersurfaces

Author:

Cheng Xu1,Zhou Detang1

Affiliation:

1. Insitituto de Matemática, Universidade Federal Fluminense, Niteró, RJ 24020-140, Brazil

Publisher

International Press of Boston

Subject

Statistics, Probability and Uncertainty,Geometry and Topology,Statistics and Probability,Analysis

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Harmonic 1-Forms on Minimal Hypersurfaces in $${{\mathbb {S}}}^{n}\times {{\mathbb {R}}}$$;Bulletin of the Brazilian Mathematical Society, New Series;2023-12-20

2. Gap phenomena for constant mean curvature surfaces;Bulletin of the London Mathematical Society;2023-04-06

3. Vanishing results from Lichnerowicz Laplacian on complete Kähler manifolds and applications;Journal of Mathematical Analysis and Applications;2023-01

4. On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature;Anais da Academia Brasileira de Ciências;2016-12

5. Gap theorems on hypersurfaces in spheres;Journal of Mathematical Analysis and Applications;2015-10

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