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St.Petersburg Mathematical Journal
St.Petersburg Mathematical Journal
ISSN: 1547-7371(e) ISSN: 1061-0022(p)
     

Symmetric geodesics on cubes: Algorithms for finding them

Author(s): V. A. Zalgaller
Translated by: N. Yu. Netsvetaev
Original publication: Algebra i Analiz, tom 16 (2004), vypusk 2.
Journal: St. Petersburg Math. J. 16 (2005), 423-436.
MSC (2000): Primary 51M20, 52B05, 52B15
Posted: March 10, 2005
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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:

1.
V. A. Zalgaller, Symmetric geodesics on cubes of low dimension, Algebra i Analiz 14 (2002), no. 5, 202-239; English transl., St. Petersburg Math. J. 14 (2003), no. 5, 857-886. MR 1970340 (2004c:53049)

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: 10.1090/S1061-0022-05-00859-9
PII: S 1061-0022(05)00859-9
Keywords: Closed geodesics, cubes
Received by editor(s): 23/APR/2003
Posted: March 10, 2005
Copyright of article: Copyright 2005, American Mathematical Society


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