책 이미지
eBook 미리보기
책 정보
· 제목 : Geometry and Dynamics in Gromov Hyperbolic Metric Spaces (Hardcover) (With an Emphasis on Non-proper Settings)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470434656
· 쪽수 : 281쪽
· 출판일 : 2017-05-03
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470434656
· 쪽수 : 281쪽
· 출판일 : 2017-05-03
목차
- Preliminaries: Algebraic hyperbolic spaces
- $\mathbb{R}$-trees, CAT(-1) spaces, and Gromov hyperbolic metric spaces
- More about the geometry of hyperbolic metric spaces
- Discreteness
- Classification of isometries and semigroups
- Limit sets
- The Bishop-Jones theorem: The modified Poincare exponent
- Generalization of the Bishop-Jones theorem
- Examples: Schottky products
- Parabolic groups
- Geometrically finite and convex-cobounded groups
- Counterexamples
- $\mathbb{R}$-trees and their isometry groups
- Patterson-Sullivan theory: Conformal and quasiconformal measures
- Patterson-Sullivan theorem for groups of divergence type
- Quasiconformal measures of geometrically finite groups
- Open problems
- Index of defined terms
- Bibliography
