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Equivalence of antipodal spaces and Moebius space
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Classroom Contents
Quasi-Metric Antipodal Spaces and Maximal Gromov Hyperbolic Spaces
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- 1 Intro
- 2 Gromov inner product
- 3 Visual metrics on the boundary of a CAT(-1) space
- 4 Moebius maps and isometries
- 5 Motivation: marked length spectrum rigidity problem
- 6 Infinitesimal rigidity
- 7 Circumcenter extension of Moebius maps
- 8 Boundary continuous Gromov hyperbolic spaces
- 9 Good fillings of quasi-metric antipodal spaces
- 10 Geometric Mean-Value Theorem
- 11 The Moebius space M(Z)
- 12 The discrepancy function
- 13 The antipodal flow
- 14 The antipodalization map
- 15 The maxima compactification M(Z)
- 16 The Busemann cocycle and derivatives for good
- 17 Equivalence of antipodal spaces and Moebius space
- 18 Maximal Gromov hyperbolic spaces
- 19 Application to Moebius rigidity
- 20 Convexity problem
