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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 
 

 

Symmetric geodesics on cubes: Algorithms for finding them


Author: V. A. Zalgaller
Translated by: N. Yu. Netsvetaev
Original publication: Algebra i Analiz, tom 16 (2004), nomer 2.
Journal: St. Petersburg Math. J. 16 (2005), 423-436
MSC (2000): Primary 51M20, 52B05, 52B15
DOI: https://doi.org/10.1090/S1061-0022-05-00859-9
Published electronically: March 10, 2005
MathSciNet review: 2068348
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Abstract | References | Similar Articles | Additional Information

Abstract: An algorithm is presented for finding simple closed symmetric geodesics on the boundary of an $n$-cube.


References [Enhancements On Off] (What's this?)

  • 1. V. A. Zalgaller, Symmetric geodesics on cubes of low dimensions, Algebra i Analiz 14 (2002), no. 5, 202–239 (Russian); English transl., St. Petersburg Math. J. 14 (2003), no. 5, 857–886. MR 1970340
  • 2. P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983), no. 5, 401-487. MR 0705527 (84m:57009)

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Additional Information

V. A. Zalgaller
Email: zalg@tarunz.org

DOI: https://doi.org/10.1090/S1061-0022-05-00859-9
Keywords: Closed geodesics, cubes
Received by editor(s): April 23, 2003
Published electronically: March 10, 2005
Article copyright: © Copyright 2005 American Mathematical Society

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