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Compactness of certain class of singular minimal hypersurfaces. (arXiv:1901.05840v1 [math.DG])
来源于:arXiv
Given a closed Riemannian manifold $(N^{n+1},g)$, $n+1 \geq 3$ we prove the
compactness of the space of singular, minimal hypersurfaces in $N$ whose
volumes are uniformly bounded from above and the $p$-th Jacobi eigenvalue
$\lambda_p$'s are uniformly bounded from below. This generalizes the results of
Sharp and Ambrozio-Carlotto-Sharp in higher dimensions. 查看全文>>