Science and Technology Production
Article
Authorship
Date
1998
Publishing House and Editing Place
SPRINGER
Magazine
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY,
vol. 16
(pp. 357-370)
SPRINGER
Summary
Information provided by the agent in
SIGEVA
Recent results of C. Gordon -Y. Mao and H. Pesce imply that isospectral compact hyperbolic Riemann surfaces have Laplace and length isospectral unit tangent bundles. In this note we give explicit formulae relating the spectra of such surfaces and those of their unit tangent bundles, and use them to prove the converses.
Key Words
LENGTH SPECTRUMLAPLACE SPECTRUMUNIT TANGENT BUNDLEHYPERBOLIC SURFACE