Index estimates of compact hypersurfaces in smooth metric measure spaces

被引：0
|
作者：
Batista, Marcio [1 ]
Martins, Matheus B. [1 ]
机构：
[1] Univ Fed Alagoas, CPMAT IM, BR-57072970 Maceio, AL, Brazil
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2024年
关键词：
minimal hypersurfaces; Morse index; free boundary; weighted manifold; singular manifolds; MINIMAL HYPERSURFACES; BOUNDS; STABILITY; SURFACES; R-3;
D O I：
10.1017/prm.2024.25
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we investigate the spectra of the stability and Hodge-Laplacian operators on a compact manifold immersed as a hypersurface in a smooth metric measure space, possibly with singularities. Using ideas developed by A. Ros and A. Savo, along with an ingenious computation, we have obtained a comparison between the spectra of these operators. As a byproduct of this technique, we have deduced an estimate of the Morse index of such hypersurfaces.
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页数：19
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