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Exponential growth of spaces without conjugate points
Author(s):
N.
D.
Lebedeva
Translated by:
N. Yu. Netsvetaev
Original publication:
Algebra i Analiz,
tom 15
(2003),
vypusk 1.
Journal:
St. Petersburg Math. J.
15
(2004),
127-137.
MSC (2000):
Primary 52B70
Posted:
December 31, 2003
MathSciNet review:
1979721
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Additional information
References:
- 1.
- W. Ballmann and M. Brin, Orbihedra of nonpositive curvature, Inst. Hautes Études Sci. Publ. Math. No. 82 (1995), 169-209 (1996). MR 97i:53049
- 2.
- C. Croke, Volumes of balls in manifolds without conjugate points, Internat. J. Math. 3 (1992), 455-467. MR 93e:53048
- 3.
- M. Gromov, Asymptotic invariants of infinite groups, Geometric Group Theory, Vol. 2 (Sussex, 1991), London Math. Soc. Lecture Note Ser., vol. 182, Cambridge Univ. Press, Cambridge, 1993, pp. 1-295. MR 95m:20041
- 4.
- I. P. Kornfel'd, Ya. G. Sinai, and S. V. Fomin, Ergodic theory, ``Nauka'', Moscow, 1980; English transl., Grundlehren Math. Wiss., vol. 245, Springer-Verlag, New York, 1982. MR 83a:28017
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Additional Information:
N.
D.
Lebedeva
Affiliation:
St. Petersburg State University, Department of Mathematics and Mechanics, Universitetskii pr. 28, St. Petersburg 198504, Russia
DOI:
10.1090/S1061-0022-03-00805-7
PII:
S 1061-0022(03)00805-7
Keywords:
Polyhedral space,
volume entropy,
conjugate points
Received by editor(s):
2/SEP/2002
Posted:
December 31, 2003
Additional Notes:
{Partially supported by RFBR (grants nos.~02-01-00090 and 00-15-96024) and by CRDF (grant no. RM1-2381-ST-02)}.
Copyright of article:
Copyright
2003,
American Mathematical Society
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