Sur les immeubles hyperboliques (On hyperbolic buildings)
D Gaboriau, F Paulin - Geometriae Dedicata, 2001 - Springer
The aim of this paper is to give a geometric approach to Tits'“amalgam method” to construct
buildings and to initiate a study of hyperbolic buildings, ie whose types are reflexion systems …
buildings and to initiate a study of hyperbolic buildings, ie whose types are reflexion systems …
Periodic rank one geodesics in Hadamard spaces
W Ballmann, S Buyalo - Geometric and probabilistic structures in …, 2008 - books.google.com
Periodic rank one geodesics in Hadamard spaces Page 36 http://dx. doi. org/10.1090/conm/469/09159
Contemporary Mathematics Volume 469, 2008 Periodic Rank One Geodesics in Hadamard …
Contemporary Mathematics Volume 469, 2008 Periodic Rank One Geodesics in Hadamard …
Tits geometry and positive curvature
F Fang, K Grove, G Thorbergsson - 2017 - projecteuclid.org
There is a well-known link between (maximal) polar representations and isotropy
representations of symmetric spaces provided by Dadok. Moreover, the theory by Tits and …
representations of symmetric spaces provided by Dadok. Moreover, the theory by Tits and …
[PDF][PDF] Rigidity of spherical buildings and joins
A Lytchak - Geometric and Functional Analysis, 2005 - mi.uni-koeln.de
Main Theorem. Let X be a finite dimensional geodesically complete CAT (1) space. If X has
a proper closed subset A containing with each x Ga all antipodes of x, ie all points z Gx with …
a proper closed subset A containing with each x Ga all antipodes of x, ie all points z Gx with …
On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
U Bader, PE Caprace, J Lécureux - Journal of the American Mathematical …, 2019 - ams.org
Let $ X $ be a locally finite irreducible affine building of dimension $\geq 2$, and let
$\Gamma\leq\operatorname {Aut}(X) $ be a discrete group acting cocompactly. The goal of …
$\Gamma\leq\operatorname {Aut}(X) $ be a discrete group acting cocompactly. The goal of …
Polar foliations of symmetric spaces
A Lytchak - Geometric and Functional Analysis, 2014 - Springer
POLAR FOLIATIONS OF SYMMETRIC SPACES Alexander Lytchak 1 Introduction Page 1
Geom. Funct. Anal. Vol. 24 (2014) 1298–1315 DOI: 10.1007/s00039-014-0279-2 Published …
Geom. Funct. Anal. Vol. 24 (2014) 1298–1315 DOI: 10.1007/s00039-014-0279-2 Published …
CAT (0) spaces of higher rank I
S Stadler - Geometric and Functional Analysis, 2024 - Springer
A CAT (0) space has rank at least n if every geodesic lies in an n-flat. Ballmann's Higher
Rank Rigidity Conjecture predicts that a CAT (0) space of rank at least 2 with a geometric …
Rank Rigidity Conjecture predicts that a CAT (0) space of rank at least 2 with a geometric …
An invitation to rigidity theory
RJ Spatzier - Modern dynamical systems and applications, 2004 - books.google.com
This survey is dedicated to Professor Anatole Katok on the occasion of his sixtieth birthday.
He has made numerous important contributions to dynamics and ergodic theory proper …
He has made numerous important contributions to dynamics and ergodic theory proper …
Combinatorial structure of some hyperbolic buildings
A Vdovina - Mathematische Zeitschrift, 2002 - Springer
We give an elementary construction of polyhedra whose links are connected bipartite
graphs. In particular, we construct polyhedra whose links are generalized m-gons. The …
graphs. In particular, we construct polyhedra whose links are generalized m-gons. The …
[PDF][PDF] Buildings and their applications in geometry and topology
L Ji - 2006 - projecteuclid.org
Buildings were first introduced by J. Tits in 1950s to give systematic geometric
interpretations of exceptional Lie groups and have been generalized in various ways …
interpretations of exceptional Lie groups and have been generalized in various ways …