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Summary Of: Gauss-Bonnet theorem
A neat application of the Gauss-Bonnet theorem is the answer to the question...
Encyclodia Page On: Gauss-Bonnet theorem
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differential geometry
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surfaces
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curvature
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Euler characteristic
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Carl Friedrich Gauss
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Pierre Ossian Bonnet
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compact
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Riemannian manifold
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Gaussian curvature
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geodesic curvature
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element of area
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Euler characteristic
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piecewise smooth
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angles
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orientable
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genus
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open unit disc
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torus
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geodesics
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Descartes' theorem on total angular defect
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polyhedron
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homeomorphic
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measure
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discrete measure
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football
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Fullerenes
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Allendoerfer
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Weil
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Chern
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generalized Gauss-Bonnet theorem
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Chern-Weil homomorphism
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Riemann-Roch theorem
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Atiyah–Singer index theorem
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cite
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references or sources
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reliable sources
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Unverifiable
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Categories
|
Differential geometry
|
Differential geometry of surfaces
|
Mathematical theorems
|
Riemann surfaces
|
Articles lacking sources from September 2008
|
All articles lacking sources
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This article is licensed under the
GNU Free Documentation License
. It uses material from the
Wikipedia article "Gauss-Bonnet theorem"
.