Isthmus 发表于 2025-3-23 09:57:51
Global Analysis of Minimal Surfaces978-3-642-11706-0Series ISSN 0072-7830 Series E-ISSN 2196-9701啤酒 发表于 2025-3-23 15:39:24
https://doi.org/10.1007/978-3-642-11706-049Q05,53A05, 53A07, 53B20, 35J20, 35J47, 35J50, 35J75, 49Q20; calculus of variations; conformal mappinduplicate 发表于 2025-3-23 19:47:10
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Bernstein Theorems and Related Results .-dimensional minimal surface equation as well as for stationary points of singular integrals of the type ., called .-.. The basic results are . and . for minimal hypersurfaces. Essential tools are formulae for the first and second variation, Simons’s identity for the second fundamental form and “JDEVIL 发表于 2025-3-24 08:45:27
The General Problem of Plateau: Another Approach curves .. may bound multiply connected minimal surfaces that could be of higher genus and even nonorientable; for a special case this problem was studied in Vol. 1. As background, an approach to Teichmüller theory of compact oriented Riemann surfaces is outlined which then is extended to oriented Rpacifist 发表于 2025-3-24 13:23:58
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Euler Characteristic and Morse Theory for Minimal Surfacesroperties. The most interesting case .=3 is much more difficult than the case .≥4 since, according to the index theorem, for .=3 the nondegenerate minimal surfaces are not generic. Nevertheless it will be useful to have a theory for .≥4 as one can connect ℝ.-contours via homotopies in ℝ. with ℝ.-con挣扎 发表于 2025-3-24 22:47:06
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