Cross-ratio in higher rank symmetric spaces

DOI10.1515/FORUM.2010.009zbMath1188.53051MaRDI QIDQ5306378

Inkang Kim

Publication date: 9 April 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

symmetric spacecross-ratioHitchin representation

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Rigidity results (53C24) Differential geometry of symmetric spaces (53C35)

Related Items

Cross ratios, translation lengths and maximal representations ⋮ Cross ratios on boundaries of symmetric spaces and euclidean buildings

Cites Work

• Asymptotic properties of linear groups
• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Rigidity on symmetric spaces.
• Anosov flows, surface groups and curves in projective space
• Ergodic theory and rigidity on the symmetric space of non-compact type
• Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.
• Marked length rigidity of rank one symmetric spaces and their product