Isometric immersions with the same Gauss map

DOI10.1007/BF01343889zbMath0288.53042OpenAlexW2049735077MaRDI QIDQ1846668

Joseph A. Erbacher, Kinetsu Abe

Publication date: 1975

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162710

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40)

Related Items (5)

On CP 1 and CP 2 Maps and Weierstrass Representations for Surfaces Immersed into Multi-Dimensional Euclidean Spaces ⋮ Shape analysis of surfaces using general elastic metrics ⋮ Compatibility of Gauß maps with metrics ⋮ Elastic Shape Analysis of Surfaces and Images ⋮ A numerical framework for elastic surface matching, comparison, and interpolation

Cites Work

• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Unique Continuation for Elliptic Equations
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