Introduction to Hyperbolic Geometry (Universitext)

Introduction to Hyperbolic Geometry
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The equivariant Minkowski problem in Minkowski space. Francesco Bonsante and Andrea Seppi. Area-preserving diffeomorphisms of the hyperbolic plane and K-surfaces in anti-de Sitter space. On the volume of anti-de Sitter maximal globally hyperbolic three-manifolds. Cho, Y.. Trigonometry in extended hyperbolic space and extended de Sitter space.

Korean Math. Cooper, D.. Three-dimensional orbifolds and cone-manifolds, volume 5 of MSJ Memoirs. Mathematical Society of Japan, Tokyo,. With a postface by Sadayoshi Kojima. Limits of geometries. Danciger, J.. Geometric transitions: From hyperbolic to AdS geometry. PhD thesis, Stanford University. A geometric transition from hyperbolic to anti-de Sitter geometry. Geometry and topology of complete Lorentz spacetimes of constant curvature. Margulis spacetimes via the arc complex.

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Buy Introduction to Hyperbolic Geometry (Universitext) on ✓ FREE SHIPPING on qualified orders. This review is of the first edition. For me the highlight of this treatment is the indication of a new model of the Euclidean plane within the hyperbolic plane.

Polyhedra inscribed in a quadric. ArXiv e-prints, October.

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Darboux, G.. Chelsea Publishing Co. Deroin, B.. Dominating surface group representations by Fuchsian ones. IMRN, 13 Gale, D.. Convex functions on convex polytopes. Galeeva, R. Infinitesimal bendings of surfaces in pseudo-Euclidean space. Uspekhi Mat. Nauk, 37 5 ,. Gallot, S..

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Riemannian geometry. Hawking, S. The Large scale structure of space-time - Cambridge Monographs on Mathematical Physics, No.

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A abc where G denotes the area of a triangle. Show that the polar lines of the points off are all concurrent. Ships with Tracking Number! USD A line in H is a chord of the conic C, that is H n e where t is a line in P2.

Hodgson, C. Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery. Izmestiev, I.. Infinitesimal isometric deformations of frameworks in euclidean and non-euclidean geometries. In This volume. Projective background of the infinitesimal rigidity of frameworks. Knebelman, M. On Groups of Motion in Related Spaces. Kobayashi, S.. Transformation groups in differential geometry.

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Reprint of the edition. Kozai, K..

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Hyperbolic structures from Sol on pseudo-Anosov mapping tori. Minimal surfaces and particles in 3-manifolds - Krasnov, Kirill et al. Labourie, F.. Lorentz spacetimes of constant curvature. Milka, A. Unique determination of convex surfaces in a pseudo-Riemannian spherical space.

Master Course: Hyperbolic surfaces

Nomizu, K.. Affine differential geometry, volume of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge,. Geometry of affine immersions. O'Neill, B.. With applications to relativity. Papadopoulos, A.. Pogorelov, A. Extrinsic geometry of convex surfaces. American Mathematical Society, Providence, R.

Poincar, H.. Richter-Gebert, J..

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A guided tour through real and complex geometry. Rockafellar, R. Convex analysis. Princeton Landmarks in Mathematics. Reprint of the original, Princeton Paperbacks. Further reading:. Schedule: Week Spherical geometry: spherical lines, triangle inequality, polar correspondence; sperical triangles congruence, area, law of sines, law of cosines. Week Spherical geometry: law of sines, law of cosines; isometries of the sphere.

Week Inversions: take circles and lines to circles and lines, preserve anlges. Inversion in space. Week Stereographic projection. Introduction to hyperbolic geometry: Poincare disk model. Week Conformal models of hyperbolic plane: Poincare disk and half-plane models.

Hyperbolic lines, circles.