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Gauss-Bonnet's theorem and closed Frenet frames

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Publication:1281800
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DOI10.1023/A:1005060308315zbMath0930.53002OpenAlexW102325241MaRDI QIDQ1281800

Peter Røgen

Publication date: 15 February 2000

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005060308315


zbMATH Keywords

integral geometrytotal geodesic curvatureunknotting numbertotal curvaturetotal torsionfour vertex theoremgeneralization of Jacobi's theoremindex of spherical curvestennis ball theorem


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (6)

The conjugate locus on convex surfaces ⋮ On the geometry of curves and conformal geodesics in the Möbius space ⋮ An index formula for the self-linking number of a space curve ⋮ Total torsion of curves in three-dimensional manifolds ⋮ On the geodesic curvature of Riemannian loops ⋮ Chern-Simons theory from M5-branes and calibrated M2-branes




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