Upper Bounds for the First Eigenvalue of the Laplacian of Hypersurfaces in terms of Anisotropic Mean Curvatures

作者：Roth Julien^*

来源：Results in Mathematics, 2013, 64(3-4): 383-403.

DOI：10.1007/s00025-013-0322-x

• Hypersurfaces
• Laplacian
• eigenvalues
• anisotropic mean curvatures
• pinching

We prove upper bounds for the first eigenvalue of the Laplacian of hypersurfaces of Euclidean space involving anisotropic mean curvatures. Then, we study the equality case and its stability.

• 出版日期2013-12