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The Wave Group on Asymptotically Hyperbolic Manifolds

✍ Scribed by Mark S. Joshi; Antônio Sá Barreto

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
202 KB
Volume
184
Category
Article
ISSN
0022-1236

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✦ Synopsis

We show that the wave group on asymptotically hyperbolic manifolds belongs to an appropriate class of Fourier integral operators. Then we use now standard techniques to analyze its (regularized) trace. We prove that, as in the case of compact manifolds without boundary, the singularities of the regularized wave trace are contained in the set of periods of closed geodesics. We also obtain an asymptotic expansion for the trace at zero.

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