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ENTROPY DEGENERATION OF CONVEX PROJECTIVE SURFACES.
- Source :
- Conformal Geometry & Dynamics; 12/7/2015, Vol. 19 Issue 14, p318-322, 5p
- Publication Year :
- 2015
-
Abstract
- We show that the volume entropy of the Hilbert metric on a closed convex projective surface tends to zero as the corresponding Pick differential tends to infinity. The proof is based on the fact, due to Benoist and Hulin, that the Hilbert metric and the Blaschke metric are comparable. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10884173
- Volume :
- 19
- Issue :
- 14
- Database :
- Complementary Index
- Journal :
- Conformal Geometry & Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 111506807
- Full Text :
- https://doi.org/10.1090/ecgd/286