Loading...

Geometric Bounds for the Entropy of Geodesic Flow

Askari Masouleh, Niloofar | 2024

0 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 57359 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Fanai, Hamid Reza
  7. Abstract:
  8. In this thesis, the aim is to provide lower or upper bounds for the entropy of the geodesic flow on Riemannian manifolds. There are well-known results in this area derived from the works of mathematicians such as Sarnak, Osserman, Mane, and others. Our focus is primarily on geometric bounds that are expressed in terms of Riemannian curvature. We will attempt to examine these results in detail and consider some of their applications
  9. Keywords:
  10. Geodesic Flow ; Entropy ; Riemannian Curvature ; Riemannian Manifold ; Variational Bounds

 Digital Object List