Yau's conjecture on the first eigenvalue
id:
yau-s-conjecture-on-the-first-eigenvalue-243-6690763
title:
Yau's conjecture on the first eigenvalue
text:
In mathematics, Yau's conjecture on the first eigenvalue is, as of 2018, an unsolved conjecture proposed by Shing-Tung Yau in 1982. It asks: If true, it will imply that the area of embedded minimal hypersurfaces in S 3 will have an upper bound depending only on the genus. Some possible reformulations are as follows: The first eigenvalue of every closed embedded minimal hypersurface M n in the unit sphere S n + 1 (1) is n The first eigenvalue of an embedded compact minimal hypersurface M n of the
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https://en.wikipedia.org/wiki/Yau%27s_conjecture_on_the_first_eigenvalue
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2022-12-15T18:36:01Z
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