Minimal 2-tori in \(S^ 4\) whose Gauss images have constant curvature

DOI10.1007/BF01196439zbMath0809.53067MaRDI QIDQ1327133

Makoto Sakaki

Publication date: 30 March 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

minimal surfacetotally geodesicGauss map2-torus

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Willmore surfaces of constant Möbius curvature

Cites Work

• Unnamed Item
• Minimal immersions of surfaces into 4-dimensional space forms
• Constant mean curvature surfaces in 4-space forms
• Exceptional minimal surfaces whose Gauss images have constant curvature
• On compact minimal surfaces with non-negative Gaussian curvature in a space of constant curvature. I
• The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature
• Complete minimal surfaces in \(S^ 3\)
• Some intrinsic characterizations of minimal surfaces
• Minimal Surfaces with Constant Curvature in 4-Dimensional Space Forms
• Minimal Surfaces of Constant Curvature in S n
• The geometry of the generalized Gauss map
• On the Gauss map of minimal surfaces immersed in \(R^ n\)

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