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Secondary invariants and the singularity of the Ruelle zeta-function in the central critical point
Author(s):
Andreas
Juhl
Journal:
Bull. Amer. Math. Soc.
32
(1995),
80-87.
MathSciNet review:
1284776
Retrieve article in:
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Abstract |
References |
Additional information
Abstract:
The Ruelle zeta-function of the geodesic flow on the sphere bundle  of an even-dimensional compact locally symmetric space X of rank 1 is a meromorphic function in the complex plane that satisfies a functional equation relating its values in s and -s. The multiplicity of its singularity in the central critical point s = 0 only depends on the hyperbolic structure of the flow and can be calculated by integrating a secondary characteristic class canonically associated to the flow-invariant foliations of  for which a representing differential form is given.
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Additional Information:
DOI:
10.1090/S0273-0979-1995-00570-7
PII:
S 0273-0979(1995)00570-7
Copyright of article:
Copyright
1995,
American Mathematical Society
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