Isotopy problems for saddle surfaces

DOI10.1016/j.ejc.2009.10.002zbMath1213.52002OpenAlexW2019311876MaRDI QIDQ973103

B. E. Eshmatov

Publication date: 28 May 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.10.002

zbMATH Keywords

convex bodysaddle surfacehyperbolic polytopeAlexandrov's conjecturehérisson

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Convex sets in (3) dimensions (including convex surfaces) (52A15)

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A new example of a hyperbolic virtual polytope, Pointed spherical tilings and hyperbolic virtual polytopes, An illustrated theory of hyperbolic virtual polytopes

Cites Work

• Solution of one problem of A. D. Aleksandrov's problems
• Hedgehog theory and polytopes
• A. D. Alexandrov's uniqueness theorem for convex polytopes and its refinements
• On hyperbolic virtual polytopes and hyperbolic fans
• Contre-exemple à une caractérisation conjecturée de la sphère
• New counterexamples to A. D. Alexandrov’s hypothesis
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