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Zap. Nauchn. Sem. POMI, 2009, Volume 372, Pages 19–33 (Mi znsl3554)  

A new example of hyperbolic virtual polytope

M. G. Knyazeva

St. Petersburg Institute for Informatics and Automation of RAS, St. Petersburg, Russia

Abstract: A new example of hyperbolic virtual polytope with four horns is constructed. The corresponding smooth hyperbolic hedgehog is not isotopic to the familiar example by Y. Martinez-Maure since the two hedgehogs generate nonisotopic configurations of great semi-circles on the two-sphere. Certain extrinsic-geometric properties of the polytope are established. Bibl. – 11 titles.

Key words and phrases: Aleksandrov's conjecture, hyperbolic hedgehog, horn.

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English version:
Journal of Mathematical Sciences (New York), 2011, 175:5, 509–516

UDC: 514.144
Received: 18.04.2009

Citation: M. G. Knyazeva, “A new example of hyperbolic virtual polytope”, Geometry and topology. Part 11, Zap. Nauchn. Sem. POMI, 372, POMI, St. Petersburg, 2009, 19–33; J. Math. Sci. (N. Y.), 175:5 (2011), 509–516

Citation in format AMSBIB
\Bibitem{Kny09}
\by M.~G.~Knyazeva
\paper A new example of hyperbolic virtual polytope
\inbook Geometry and topology. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 372
\pages 19--33
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3554}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 175
\issue 5
\pages 509--516
\crossref{https://doi.org/10.1007/s10958-011-0360-4}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958032368}


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