Equidistribution of minimal hypersurfaces for generic metrics
成果类型：
Article
署名作者：
Marques, Fernando C.; Neves, Andre; Song, Antoine
署名单位：
Princeton University; University of Chicago; Imperial College London
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-018-00850-5
发表日期：
2019
页码：
421-443
关键词：
摘要：
For almost all Riemannian metrics (in the C-infinity Baire sense) on a closed manifold Mn+1, 3 <= (n + 1) <= 7, we prove that there is a sequence of closed, smooth, embedded, connected minimal hypersurfaces that is equidistributed in M. This gives a quantitative version of the main result of Irie et al. (Ann Math 187(3): 963-972, 2018), that established density of minimal hypersurfaces for generic metrics. As in Irie et al. (2018), the main tool is the Weyl Law for the Volume Spectrum proven by Liokumovich et al. (Ann Math 187(3): 933-961, 2018).
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