total curvature

  • 21Gauss–Codazzi equations — In Riemannian geometry, the Gauss–Codazzi–Mainardi equations are fundamental equations in the theory of embedded hypersurfaces in a Euclidean space, and more generally submanifolds of Riemannian manifolds. They also have applications for embedded …

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  • 22Darboux frame — In the differential geometry of surfaces, a Darboux frame is a natural moving frame constructed on a surface. It is the analog of the Frenet–Serret frame as applied to surface geometry. A Darboux frame exists at any non umbilic point of a surface …

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  • 23Cocurvature — In mathematics in the branch of differential geometry, the cocurvature of a connection on a manifold is the obstruction to the integrability of the vertical bundle. Definition If M is a manifold and P is a connection on M, that is a vector valued …

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  • 24Schur's theorem — In discrete mathematics, Schur s theorem is either of two different theorems of the mathematician Issai Schur. In differential geometry, Schur s theorem is a theorem of A. Schur. Ramsey theory In Ramsey theory, Schur s theorem states that for any …

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  • 25Théorème de Fary-Milnor —  Ne doit pas être confondu avec le théorème de Fáry (en) sur les graphes planaires. En théorie des nœuds, le théorème de Fary Milnor dit qu en dimension 3, une courbe fermée simple lisse dont la courbure totale est as …

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  • 26David Allen Hoffman — (* 21. Juli 1944 in Far Rockaway, Queens, New York)[1] ist ein US amerikanischer Mathematiker, der sich mit Differentialgeometrie und speziell Minimalflächen beschäftigt. Hoffman studierte an der University of Rochester (Bachelor 1966) und an der …

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  • 27List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie …

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  • 28Winding number — The term winding number may also refer to the rotation number of an iterated map. This curve has winding number two around the point p. In mathematics, the winding number of a closed curve in the plane around a given point is an integer… …

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  • 29Knot invariant — In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence is often given by ambient isotopy but can be given by homeomorphism. Some… …

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  • 30Теорема Фари — Милнора — теорема теории узлов, одного из разделов математики. Пусть узел в трёхмерном евклидовом пространстве и его кривизна в точке . Тогда если …

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