Gauss curvature of Gaussian image of minimal surfaces

DOI10.2996/kmj/1138039705zbMath0787.53054OpenAlexW1989144167WikidataQ125967171 ScholiaQ125967171MaRDI QIDQ1261822

Haizhong Li

Publication date: 7 September 1993

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039705

zbMATH Keywords

Gauss mapsuperminimalcomplex curve

Mathematics Subject Classification ID

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

Cites Work

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• Stability of minimal surfaces and eigenvalues of the Laplacian
• An intrinsic characterization of a class of minimal surfaces in constant curvature manifolds
• Minimal surfaces in a sphere with Gaussian curvature not less than 1/6
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• Minimal varieties in Riemannian manifolds
• The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature
• Complete minimal surfaces in \(S^ 3\)
• Minimal submanifolds with m-index 2 and generalized Veronese surfaces
• Remarks on the Rigidity and Stability of Minimal Submanifolds
• The geometry of the generalized Gauss map
• Contributions to the Theory of Surfaces in a 4-Space of Constant Curvature