scholarly journals A Lower Bound for the Remainder in Weyl's Law on Negatively Curved Surfaces

2007 ◽  
Vol 2007 ◽  
Author(s):  
Dmitry Jakobson ◽  
Iosif Polterovich ◽  
John A. Toth
Keyword(s):  
Lower Bound ◽  
Curved Surfaces ◽  
Weyl’S Law ◽  
Negatively Curved ◽  
Weyl's Law

scholarly journals The Remainder in Weyl's Law for Heisenberg Manifolds

2002 ◽  
Vol 60 (3) ◽  
pp. 455-483 ◽  
Author(s):  
Yiannis N. Petridis ◽  
John A. Toth
Keyword(s):  
Weyl’S Law ◽  
Heisenberg Manifolds ◽  
Weyl's Law

scholarly journals Weyl's law for the cuspidal spectrum of SLn

2004 ◽  
Vol 338 (5) ◽  
pp. 347-352 ◽  
Author(s):  
Werner Müller
Keyword(s):  
Weyl’S Law ◽  
Weyl's Law

scholarly journals Approximate solutions of cohomological equations associated with some Anosov flows

1990 ◽  
Vol 10 (2) ◽  
pp. 367-379 ◽  
Author(s):  
Svetlana Katok
Keyword(s):  
Approximate Solutions ◽  
Geodesic Flows ◽  
Curved Surfaces ◽  
Anosov Flow ◽  
3 Dimensional ◽  
Negatively Curved ◽  
Anosov Flows ◽  
Higher Differentiability ◽  
Special Case ◽  
Cohomological Equations

AbstractThe Livshitz theorem reported in 1971 asserts that any C1 function having zero integrals over all periodic orbits of a topologically transitive Anosov flow is a derivative of another C1 function in the direction of the flow. Similar results for functions of higher differentiability have also appeared since. In this paper we prove a ‘finite version’ of the Livshitz theorem for a certain class of Anosov flows on 3-dimensional manifolds which include geodesic flows on negatively curved surfaces as a special case.

Sign in / Sign up

Export Citation Format

Share Document