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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
MathSciNet review:
2068348
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Abstract:
An algorithm is presented for finding simple closed symmetric geodesics on the boundary of an -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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