Results 11 to 18 of about 831 (18)

A New Algorithm in Geometry of Numbers

, 2007
A lattice Delaunay polytope P is called perfect if its Delaunay sphere is the only ellipsoid circumscribed about P. We present a new algorithm for finding perfect Delaunay polytopes.
Dutour, Mathieu, Rybnikov, Konstantin
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On the Hilbert Geometry of products [PDF]

, 2011
We prove that the Hilbert geometry of a product of convex sets is bi-lipschitz equivalent the direct product of their respective Hilbert geometries.
Vernicos, Constantin
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The connected components of the space of Alexandrov surfaces

, 2013
Denote by $\mathcal{A}(\kappa)$ the set of all compact Alexandrov surfaces with curvature bounded below by $\kappa$ without boundary, endowed with the topology induced by the Gromov-Hausdorff metric. We determine the connected components of $\mathcal{A}(\
A.D. Aleksandrov, A.D. Alexandrov, D. Burago, K. Shiohama, V. Kapovitch, Y. Machigashira   +5 more
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Volumes of polytopes in spaces of constant curvature

, 2013
We overview the volume calculations for polyhedra in Euclidean, spherical and hyperbolic spaces. We prove the Sforza formula for the volume of an arbitrary tetrahedron in $H^3$ and $S^3$.
A. Cauchy, A. Ushijima, A.D. Mednykh, A.D. Mednykh, A.F. Möbius, D. Yu. Sokolova, D.A. Derevnin, D.M.Y. Sommerville, D.P. Robbins, D.V. Alekseevskij, E. Pascal, F. Luo, F.V. Petrov, H. Kneser, H.S.M. Coxeter, H.S.M. Coxeter, H.W. Richmond, I. Kh. Sabitov, I. Kh. Sabitov, I. Kh. Sabitov, I. Todhunter, J. Milnor, J. Murakami, J.E. Valentine, J.J. Seidel, J.V. Uspensky, L. Schläfli, L. Wimmer, M. Fedorchuk, N.I. Lobatschefskij, N.V. Abrosimov, N.V. Abrosimov, R. Bricard, R. Connelly, R. Connelly, R. Connelly, R.V. Galiulin, S. Bilinski, V.A. Alexandrov, V.F. Ivanoff, V.V. Varfolomeev, W. Dickinson, W.J. M’Clelland, Y. Mohanty, Yu. Cho   +44 more
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Dilatation structures I. Fundamentals

, 2006
A dilatation structure is a concept in between a group and a differential structure. In this article we study fundamental properties of dilatation structures on metric spaces.
Buliga, Marius
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Sublinear Higson corona and Lipschitz extensions [PDF]

, 2006
The purpose of the paper is to characterize the dimension of sublinear Higson corona $\nu_L(X)$ of $X$ in terms of Lipschitz extensions of functions: Theorem: Suppose $(X,d)$ is a proper metric space. The dimension of the sublinear Higson corona $\nu_L(
Cencelj, M., Dydak, J., Smrekar, J., Vavpetic, A.   +3 more
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Thurston's sphere packings on 3-dimensional manifolds, I

, 2020
Thurston's sphere packing on a 3-dimensional manifold is a generalization of Thusrton's circle packing on a surface, the rigidity of which has been open for many years.
He, Xiaokai, Xu, Xu
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Lecture notes: Semidefinite programs and harmonic analysis

, 2008
Lecture notes for the tutorial at the workshop HPOPT 2008 - 10th International Workshop on High Performance Optimization Techniques (Algebraic Structure in Semidefinite Programming), June 11th to 13th, 2008, Tilburg University, The Netherlands.Comment ...
Vallentin, Frank
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