Gauss-Bonnet theorem

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Gauss-Bonnet theorem [¦gau̇s bə′nā ‚thir·əm]

(mathematics)

The theorem that the Euler characteristic of a compact Riemannian surface is 1/(2π) times the integral over the surface of the Gaussian curvature.

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No references found			Along the way he covers the geometry of curves, surfaces, curvatures, constant mean curvature surfaces, geodesics, metrics, isometries, holonomy and the Gauss-Bonnet theorem, the calculations of variations and geometry, and higher dimensions, just for fun. Differential geometry and its applications, 2d ed by SciTech Book News Topics include the Gauss map and the second fundamental form, the divergence theorem, global extrinsic geometry, rigid motions and isometrics, and the Gauss-Bonnet theorem. Curves and surfaces by SciTech Book News			Gaurdak Gauri Sankar Gause's principle Gauss Gauss A position Gauss B position Gauss eyepiece Gauss formulas Gauss image point Gauss lens system Gauss method of weighing Gauss objective lens Gauss point Gauss positions Gauss test Gauss Theorem Gauss' error curve Gauss' hypergeometric equation Gauss' law of flux Gauss' law of the arithmetic mean Gauss' mean value theorem Gauss' principle of least constraint Gauss' theorem Gauss, Carl Friedrich Gauss, Karl Friedrich Gauss-Bonnet theorem Gauss-Codazzi equations Gauss-Jordan elimination Gauss-Legendre rule Gauss-Seidel method Gaussian beam Gaussian blur Gaussian complex integers Gaussian Constant Gaussian curvature Gaussian curve Gaussian distribution Gaussian elimination Gaussian error Gaussian Formulas Gaussian integer Gaussian noise Gaussian noise generator Gaussian optics Gaussian pulse Gaussian reduction Gaussian representation Gaussian system Gaussian System of Units Gaussian units Gaussian weighing method			Gauss Mixture Vector Quantization Gauss objective lens Gauss Plane Gauss Plane Gauss point Gauss positions Gauss prime Gauss Probability Method Gauss seidel Gauss test Gauss theorem Gauss' divergence theorem Gauss' error curve Gauss' hypergeometric equation Gauss' law of flux Gauss' law of the arithmetic mean Gauss' mean value theorem Gauss' principle of least constraint Gauss' theorem Gauss's digamma theorem Gauss's logarithms Gauss's theorem Gauss, Carl Friedrich Gauss, Carl Friedrich Gauss, Karl Friedrich Gauss, Karl Friedrich Gauss, Karl Friedrich Gauss-Bolyai-Lobachevsky space Gauss-Bolyai-Lobachevsky space Gauss-Bonnet theorem Gauss-Chebyshev Quadrature Gauss-Codazzi equations Gauss-Codazzi-Mainardi equations Gauss-Johnson Gauss-Jordan elimination Gauss-Jordan Elimination Algorithm Gauss-Kuzmin-Wirsing Gauss-Legendre Quadrature Gauss-Legendre rule Gauss-Markov Fading Model Gauss-Markov Fading Process Gauss-Markov Mobility Model Gauss-Markov Random Process Gauss-Newton algorithm Gauss-Seidel Gauss-Seidel method Gaussage gausses gausses gausses Gaussian Gaussian Gaussian Gaussian Gaussian Aperture Pupil Mask Gaussian Approximation Tangential-Sphere Bound Gaussian Auto-Regressive and Chi-Square Process Gaussian beam Gaussian beam Gaussian Beam Antenna

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