scientific article; zbMATH DE number 1206318

zbMath0948.53001MaRDI QIDQ4209210

Chuan-Chih Hsiung

Publication date: 5 October 1998

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

zbMATH Keywords

isoperimetric inequalityconjugate pointsHopf-Rinow theoremGauss-Bonnet formulaconstant widthtotal curvatureFenchel's theoremindex of a vector fieldCauchy-Crofton formulaPoincaré's theoremfour-vertex theoremBuffon's needle problemnontrivial knotBieberbach's theorempositively pinched curvaturerigidity theorem of Cohn-Vossentheorem of Fary and Milnortheorem of Rosenthal and Szasz

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

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On Generalized Timelike Mannheim Curves in Minkowski Space-time ⋮ On generalized spacelike Mannheim curves in Minkowski space-time ⋮ TRANSFORMATIONS OF A SPACE CURVE AND APPLICATIONS TO ELASTIC CURVES

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