Commentarii Mathematici Helvetici
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Published online: 2001-03-31
On the first Laplacian eigenvalue and the center of gravity of compact hypersurfacesAlain R. Veeravalli (1) Université d'Evry - Val d'Essonne, France
For a closed hypersurface in a space form, this work provides some sharp upper bounds for its first positive Laplacian eigenvalue. These bounds are extrinsic as they rely on the mean curvatures and center(s) of gravity of the hypersurface.
Keywords: Hypersurface, space form, center of gravity, Laplacian eigenvalue, mean curvatures
Veeravalli Alain: On the first Laplacian eigenvalue and the center of gravity of compact hypersurfaces. Comment. Math. Helv. 76 (2001), 155-160. doi: 10.1007/s000140050153