Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T00:57:24.948Z Has data issue: false hasContentIssue false
  • English
  • Français

Some problems of integral geometry on Anosov manifolds

Published online by Cambridge University Press:  16 January 2003

NURLAN S. DAIRBEKOV  and
VLADIMIR A. SHARAFUTDINOV
NURLAN S. DAIRBEKOV
Affiliation:
Sobolev Institute of Mathematics, 4 Koptyug Av., Novosibirsk, 630090, Russia (e-mail: [email protected], [email protected])
VLADIMIR A. SHARAFUTDINOV
Affiliation:
Sobolev Institute of Mathematics, 4 Koptyug Av., Novosibirsk, 630090, Russia (e-mail: [email protected], [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we prove that on an Anosov manifold the space of symmetric m-tensor fields of vanishing energy is finite dimensional modulo the space of potential tensor fields for an arbitrary m and coincides with the latter for m=0 and m=1. For m=2 this question relates to the spectral rigidity problem.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 1 , February 2003 , pp. 59 - 74
Copyright
2003 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)