scientific article; zbMATH DE number 1999039

zbMath1049.53002MaRDI QIDQ4433581

Yu. A. Aminov

Publication date: 30 October 2003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Riemannian manifoldClifford torusEuclidean spaceisometric embeddingcurveGauss maphyperbolic spaceminimal submanifoldstable minimal surfacesine-Gordon equationBäcklund transformationflat normal connectionisometric immersionpositive curvaturenegative scalar curvatureregular polyhedraMinkowski problempinching problemcomplete minimal surfaceBianchi transformationGrassmann imageGauss imageplanar normal sectionconstant mean curvature immersiontorsion formincompressible minimal surface

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Polyhedra and polytopes; regular figures, division of spaces (51M20) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Local Riemannian geometry (53B20) Methods of local Riemannian geometry (53B21)

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