Cross-ratio in higher rank symmetric spaces

Inkang Kim

doi:10.1515/forum.2010.009

Article

Cross-ratio in higher rank symmetric spaces

Published/Copyright: October 5, 2009

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From the journal Volume 22 Issue 1

Abstract

In this note we investigate the cross-ratio in higher rank symmetric space and obtain a rigidity result. As an application we consider surface group representations, called Hitchin representations.

Received: 2007-03-25

Revised: 2008-02-12

Accepted: 2008-03-10

Published Online: 2009-10-05

Published in Print: 2010-January

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Ideals in non-associative universal enveloping algebras of Lie triple systems
Curvature of almost quaternion-Hermitian manifolds
L^p-moduli of continuity of sections of functions
No invariant line fields on Cantor Julia sets
Chain conditions for Leavitt path algebras
On differentiability of quermassintegrals
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On the Fourier coefficients of modular forms of half-integral weight
Cross-ratio in higher rank symmetric spaces
Local characterizations of infinite groups whose ascendant subgroups are permutable

https://doi.org/10.1515/forum.2010.009

Articles in the same Issue

Ideals in non-associative universal enveloping algebras of Lie triple systems
Curvature of almost quaternion-Hermitian manifolds
L^p-moduli of continuity of sections of functions
No invariant line fields on Cantor Julia sets
Chain conditions for Leavitt path algebras
On differentiability of quermassintegrals
The number of configurations in lattice point counting I
On the Fourier coefficients of modular forms of half-integral weight
Cross-ratio in higher rank symmetric spaces
Local characterizations of infinite groups whose ascendant subgroups are permutable