Deformations of normal vector fields and the generalized Minkowski problem

DOI10.1090/S0002-9904-1971-12885-9zbMath0227.53036MaRDI QIDQ5634583

Herman Gluck

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items

Integrability conditions for $\Delta u = k - Ke^{\alpha u}$ with applications to Riemannian geometry, Differential geometry of submanifolds, Manifolds with preassigned curvature—a survey

Cites Work

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• Minkowski's and related problems for convex surfaces with boundaries
• Riemannian structures of prescribed Gaussian curvature for compact 2- manifolds
• The converse to the four vertex theorem
• The generalized Minkowski problem in differential geometry in the large
• Integrability conditions for $\Delta u = k - Ke^{\alpha u}$ with applications to Riemannian geometry
• On the Existence of a Closed Convex Surface Realizing a Given Riemannian Metric
• The Weyl and Minkowski problems in differential geometry in the large