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What is the rigorous definition of a cycle in non-Euclidean geometries?

Published on
#reference-request #hyperbolic-geometry #noneuclidean-geometry #cayley-klein
167
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Is there any way of explaining the Cayley–Klein metric to undergrads?

Published on
#hyperbolic-geometry #quadrics #cross-ratio #cayley-klein
58
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Hyperbolic Space vs Hyperbolic Plane

Published on
#definition #hyperbolic-geometry
79
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Coordinate system of hyperbolic models

Published on
#metric-spaces #hyperbolic-geometry
114
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Cayley–Klein metric for Euclidean geometry

Published on
#euclidean-geometry #projective-geometry #hyperbolic-geometry
167
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Topology of compactification of upper half plane

Published on
#hyperbolic-geometry
47
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Ruled surface of constant Gauss Curvature modification

Published on
#differential-geometry #hyperbolic-geometry
66
Views

Are the same of Fréchet mean and Möbius gyrocentroid in the Poincaré ball model?

Published on
#manifolds #riemannian-geometry #hyperbolic-geometry
76
Views

Smooth representatives of two free homotopy classes of loops on a surface that intersect transversally

Published on
#differential-topology #surfaces #geometric-topology #hyperbolic-geometry #geodesic
155
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Name for hyperbolic analogue of a parallelogram?

Published on
#euclidean-geometry #hyperbolic-geometry
60
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Fubini's theorem on full measures

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#measure-theory #differential-geometry #geometric-topology #hyperbolic-geometry #geometric-measure-theory
118
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Lipschitz continuity for holomorphic function on unit disk

Published on
#complex-analysis #hyperbolic-geometry #lipschitz-functions
100
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Using hyperbolic geometry to derive Lorentz transforms

Published on
#hyperbolic-geometry #special-relativity
121
Views

Moduli space and Teichmüller space of genus 2 surface

Published on
#reference-request #geometric-topology #hyperbolic-geometry
110
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A question about Quasi Hyperbolic metric

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#complex-analysis #metric-spaces #hyperbolic-geometry #quasiconformal-maps #gromov-hyperbolic-spaces

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