Second order contact of minimal surfaces.

DOI10.1016/S0019-3577(02)80014-3zbMath1050.53012arXivmath/0201171MaRDI QIDQ1866477

J. J. Duistermaat

Publication date: 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201171

zbMATH Keywords

Gauss mapminimal surfacesfinite topologyperiodic surfacesflat points

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Compact Riemann surfaces and uniformization (30F10)

Cites Work

• The topology of complete minimal surfaces of finite total Gaussian curvature
• Monopoles and geodesics
• Über die Dimension einer Minimalfläche und zur Ungleichung von St. Cohn-Vossen
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• The infinitesimal variation of the spin abelian differentials and periodic minimal surfaces
• Duality for a class of minimal surfaces \(\mathbb{R}^{n+1}\)
• On complete minimal surfaces
• Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. (On a class of simply connected complex manifolds)
• Embedded minimal surfaces of finite topology
• Lie groups
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