Singular vectors and geometry at infinity of products of hyperbolic spaces

DOI10.24033/bsmf.2843zbMath1498.11159OpenAlexW4387320246MaRDI QIDQ5869828

Toshiaki Hattori

Publication date: 29 September 2022

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24033/bsmf.2843

zbMATH Keywords

limit pointgeodesic raysingular vectorTits building

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Diophantine inequalities (11J25)

Related Items (1)

Singular matrices and geometry at infinity of products of symmetric spaces

Cites Work

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• Some Diophantine approximation inequalities and products of hyperbolic spaces
• Manifolds of nonpositive curvature
• Diophantine approximation
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• Buildings of spherical type and finite BN-pairs
• Collapsing of quotient spaces of \(\text{SO} (n)\backslash \text{SL} (n,\mathbb{R})\) at infinity
• Homogeneous diophantine approximation in \(S\)-integers
• Strong rigidity of Q-rank 1 lattices
• Visibility manifolds
• Badly approximable vectors, curves and number fields
• ON BADLY APPROXIMABLE COMPLEX NUMBERS
• Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
• Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces
• Shimizu's lemma for classical groups
• Geometric limit sets of higher rank lattices
• Badly approximable numbers over imaginary quadratic fields

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