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Spatzier, Ralf J.

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Author ID: spatzier.ralf-j Recent zbMATH articles by "Spatzier, Ralf J."
Published as: Spatzier, Ralf; Spatzier, R. J.; Spatzier, Ralf J.; Spatzier, R.
Documents Indexed: 41 Publications since 1981
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 417 times in 283 Documents Cited by Year
Manifolds of nonpositive curvature and their buildings. Zbl 0643.53037
Burns, Keith; Spatzier, Ralf
50
1987
First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity. Zbl 0819.58027
Katok, Anatole; Spatzier, Ralf J.
49
1994
Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021
Katok, A.; Spatzier, R. J.
42
1996
Differential rigidity of Anosov actions of higher rank Abelian groups and algebraic lattice actions. Zbl 0938.37010
Katok, A.; Spatzier, R. J.
34
1997
Structure of manifolds of nonpositive curvature. II. Zbl 0598.53046
Ballmann, Werner; Brin, Misha; Spatzier, Ralf
27
1985
On topological Tits buildings and their classification. Zbl 0643.53036
Burns, Keith; Spatzier, Ralf
22
1987
Subelliptic estimates of polynomial differential operators and applications to rigidity of abelian actions. Zbl 0836.57026
Katok, A.; Spatzier, R. J.
21
1994
Global rigidity of higher rank Anosov actions on tori and nilmanifolds. With an appendix by James F. Davis. Zbl 1338.37040
Fisher, David; Kalinin, Boris; Spatzier, Ralf
17
2013
Infinite Coxeter groups do not have Kazhdan’s property. Zbl 0662.20040
Bożejko, M; Januszkiewicz, T.; Spatzier, R. J.
16
1988
Kazhdan groups, cocycles and trees. Zbl 0712.22007
Adams, S. R.; Spatzier, R. J.
13
1990
Geometrically finite groups, Patterson-Sullivan measures and Ratner’s rigidity theorem. Zbl 0667.57014
Flaminio, L.; Spatzier, R. J.
12
1990
Fundamental groups of negatively curved manifolds and actions of semisimple groups. Zbl 0744.57022
Spatzier, Ralf J.; Zimmer, Robert J.
11
1991
On the classification of Cartan actions. Zbl 1121.37026
Kalinin, Boris; Spatzier, Ralf
11
2007
Exponential mixing of nilmanifold automorphisms. Zbl 1312.37007
Gorodnik, Alexander; Spatzier, Ralf
10
2014
An example of an amenable action from geometry. Zbl 0615.58028
Spatzier, R. J.
8
1987
Mixing properties of commuting nilmanifold automorphisms. Zbl 1360.37010
Gorodnik, Alexander; Spatzier, Ralf
8
2015
Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups. Zbl 1073.37005
Kalinin, Boris; Spatzier, Ralf
7
2005
Spherical rank rigidity and Blaschke manifolds. Zbl 1082.53051
Shankar, K.; Spatzier, R.; Wilking, B.
7
2005
Some examples of higher rank manifolds of nonnegative curvature. Zbl 0713.53029
Spatzier, R. J.; Strake, M.
7
1990
Totally nonsymplectic Anosov actions on tori and nilmanifolds. Zbl 1213.37043
Fisher, David; Kalinin, Boris; Spatzier, Ralf
7
2011
New examples of manifolds with completely integrable geodesic flows. Zbl 0830.53026
Paternain, G. P.; Spatzier, R. J.
6
1994
On Livšic’s theorem, superrigidity, and Anosov actions of semisimple Lie groups. Zbl 0879.22004
Goetze, Edward R.; Spatzier, Ralf J.
5
1997
Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices. Zbl 0940.22011
Goetze, Edward R.; Spatzier, Ralf J.
4
1999
On isospectral locally symmetric spaces and a theorem of von Neumann. Zbl 0694.22007
Spatzier, R. J.
4
1989
An invitation to rigidity theory. Zbl 1151.53039
Spatzier, R. J.
4
2004
Positively curved manifolds with large spherical rank. Zbl 1346.53045
Schmidt, Benjamin; Shankar, Krishnan; Spatzier, Ralf
3
2016
Equilibrium measures for certain isometric extensions of Anosov systems. Zbl 1388.37042
Spatzier, Ralf; Visscher, Daniel
3
2018
Nonstationary normal forms and rigidity of group actions. Zbl 0871.58073
Katok, A.; Spatzier, R. J.
2
1996
On the work of Rodriguez Hertz on rigidity in dynamics. Zbl 1366.37076
Spatzier, Ralf
2
2016
Ratner’s rigidity theorem for geometrically finite Fuchsian groups. Zbl 0667.58057
Flaminio, L.; Spatzier, R. J.
2
1988
On lattices acting on boundaries of semi-simple groups. Zbl 0489.22012
Spatzier, R. J.
1
1981
Affine maps between CAT(0) spaces. Zbl 1348.53073
Bennett, Hanna; Mooney, Christopher; Spatzier, Ralf
1
2016
Correction to: On isospectral locally symmetric spaces and a theorem of von Neumann. Zbl 0709.22006
Spatzier, R. J.
1
1990
Equilibrium measures for certain isometric extensions of Anosov systems. Zbl 1388.37042
Spatzier, Ralf; Visscher, Daniel
3
2018
Positively curved manifolds with large spherical rank. Zbl 1346.53045
Schmidt, Benjamin; Shankar, Krishnan; Spatzier, Ralf
3
2016
On the work of Rodriguez Hertz on rigidity in dynamics. Zbl 1366.37076
Spatzier, Ralf
2
2016
Affine maps between CAT(0) spaces. Zbl 1348.53073
Bennett, Hanna; Mooney, Christopher; Spatzier, Ralf
1
2016
Mixing properties of commuting nilmanifold automorphisms. Zbl 1360.37010
Gorodnik, Alexander; Spatzier, Ralf
8
2015
Exponential mixing of nilmanifold automorphisms. Zbl 1312.37007
Gorodnik, Alexander; Spatzier, Ralf
10
2014
Global rigidity of higher rank Anosov actions on tori and nilmanifolds. With an appendix by James F. Davis. Zbl 1338.37040
Fisher, David; Kalinin, Boris; Spatzier, Ralf
17
2013
Totally nonsymplectic Anosov actions on tori and nilmanifolds. Zbl 1213.37043
Fisher, David; Kalinin, Boris; Spatzier, Ralf
7
2011
On the classification of Cartan actions. Zbl 1121.37026
Kalinin, Boris; Spatzier, Ralf
11
2007
Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups. Zbl 1073.37005
Kalinin, Boris; Spatzier, Ralf
7
2005
Spherical rank rigidity and Blaschke manifolds. Zbl 1082.53051
Shankar, K.; Spatzier, R.; Wilking, B.
7
2005
An invitation to rigidity theory. Zbl 1151.53039
Spatzier, R. J.
4
2004
Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices. Zbl 0940.22011
Goetze, Edward R.; Spatzier, Ralf J.
4
1999
Differential rigidity of Anosov actions of higher rank Abelian groups and algebraic lattice actions. Zbl 0938.37010
Katok, A.; Spatzier, R. J.
34
1997
On Livšic’s theorem, superrigidity, and Anosov actions of semisimple Lie groups. Zbl 0879.22004
Goetze, Edward R.; Spatzier, Ralf J.
5
1997
Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021
Katok, A.; Spatzier, R. J.
42
1996
Nonstationary normal forms and rigidity of group actions. Zbl 0871.58073
Katok, A.; Spatzier, R. J.
2
1996
First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity. Zbl 0819.58027
Katok, Anatole; Spatzier, Ralf J.
49
1994
Subelliptic estimates of polynomial differential operators and applications to rigidity of abelian actions. Zbl 0836.57026
Katok, A.; Spatzier, R. J.
21
1994
New examples of manifolds with completely integrable geodesic flows. Zbl 0830.53026
Paternain, G. P.; Spatzier, R. J.
6
1994
Fundamental groups of negatively curved manifolds and actions of semisimple groups. Zbl 0744.57022
Spatzier, Ralf J.; Zimmer, Robert J.
11
1991
Kazhdan groups, cocycles and trees. Zbl 0712.22007
Adams, S. R.; Spatzier, R. J.
13
1990
Geometrically finite groups, Patterson-Sullivan measures and Ratner’s rigidity theorem. Zbl 0667.57014
Flaminio, L.; Spatzier, R. J.
12
1990
Some examples of higher rank manifolds of nonnegative curvature. Zbl 0713.53029
Spatzier, R. J.; Strake, M.
7
1990
Correction to: On isospectral locally symmetric spaces and a theorem of von Neumann. Zbl 0709.22006
Spatzier, R. J.
1
1990
On isospectral locally symmetric spaces and a theorem of von Neumann. Zbl 0694.22007
Spatzier, R. J.
4
1989
Infinite Coxeter groups do not have Kazhdan’s property. Zbl 0662.20040
Bożejko, M; Januszkiewicz, T.; Spatzier, R. J.
16
1988
Ratner’s rigidity theorem for geometrically finite Fuchsian groups. Zbl 0667.58057
Flaminio, L.; Spatzier, R. J.
2
1988
Manifolds of nonpositive curvature and their buildings. Zbl 0643.53037
Burns, Keith; Spatzier, Ralf
50
1987
On topological Tits buildings and their classification. Zbl 0643.53036
Burns, Keith; Spatzier, Ralf
22
1987
An example of an amenable action from geometry. Zbl 0615.58028
Spatzier, R. J.
8
1987
Structure of manifolds of nonpositive curvature. II. Zbl 0598.53046
Ballmann, Werner; Brin, Misha; Spatzier, Ralf
27
1985
On lattices acting on boundaries of semi-simple groups. Zbl 0489.22012
Spatzier, R. J.
1
1981
all top 5

Cited by 279 Authors

19 Spatzier, Ralf J.
13 Katok, Anatole B.
12 Einsiedler, Manfred Leopold
12 Lindenstrauss, Elon
9 Damjanović, Danijela
8 Oh, Hee
7 Kalinin, Boris
7 Wang, Zhenqi Jenny
6 Gorodnik, Alexander
6 Kramer, Linus
6 Rodriguez-Hertz, Federico
6 Schröder, Viktor M. H.
5 Mohammadi, Amir
5 Schmidt, Benjamin
4 Nevo, Amos
4 Sadovskaya, Victoria
4 Wang, Zhiren
3 Adams, Scot
3 Benoist, Yves
3 Bowen, Lewis Phylip
3 Brown, Aaron W.
3 Caprace, Pierre-Emmanuel
3 Climenhaga, Vaughn
3 Connell, Chris
3 Fisher, David Michael
3 Grundhöfer, Theo
3 Kechris, Alexander S.
3 Link, Gabriele
3 Margulis, Grigoriĭ Aleksandrovich
3 Quint, Jean-François
3 Ramírez, Felipe A.
3 Shankar, Krishnan
3 Tanis, James H.
3 Thompson, Daniel J.
3 Venkatesh, Akshay
3 Vinhage, Kurt
3 Ward, Thomas B.
3 Zimmer, Robert J.
2 Asaoka, Masayuki
2 Barbot, Thierry
2 Belolipetsky, Mikhail V.
2 Berteloot, François
2 Björklund, Michael
2 Bödi, Richard
2 Bourgain, Jean
2 Bozejko, Marek
2 Brin, Michael
2 Burns, Keith
2 Chung, Nhan-Phu
2 Dolgopyat, Dmitry
2 Druţu, Cornelia
2 Dupont, Christophe
2 Eberlein, Patrick B.
2 Fisher, Todd L.
2 Flaminio, Livio
2 Furman, Alex
2 Haglund, Frédéric
2 Heber, Jens
2 Joswig, Michael
2 Kaimanovich, Vadim A.
2 Kanai, Masahiko
2 Kim, Raeyong
2 Knarr, Norbert
2 Kocsard, Alejandro
2 Ledrappier, François
2 Lind, Douglas A.
2 Lyons, Russell
2 Lytchak, Alexander
2 Maquera, Carlos
2 Maruhashi, Hirokazu
2 Michel, Philippe Gabriel
2 Młotkowski, Wojciech
2 Monod, Nicolas
2 Mozes, Shahar
2 Osin, Denis V.
2 Ovando, Gabriela P.
2 Peres, Yuval
2 Pollicott, Mark
2 Ricks, Russell
2 Schmidt, Klaus
2 Shi, Ronggang
2 Stroppel, Bernhild
2 Stroppel, Markus Johannes
2 Thomas, Simon R.
2 Thorbergsson, Gudlaugur
2 Valette, Alain
2 Wang, Shi
2 Wu, Weisheng
2 Xu, Disheng
1 Aaronson, Jon
1 Alvarez, Aurélien
1 Anantharaman-Delaroche, Claire
1 Andrade, Maria Gorete C.
1 Babillot, Martine
1 Bader, Uri
1 Ballmann, Hans Werner
1 Bangert, Victor
1 Barré, Sylvain
1 Bartels, Arthur C.
1 Bechtluft-Sachs, Stefan
...and 179 more Authors
all top 5

Cited in 89 Serials

27 Ergodic Theory and Dynamical Systems
20 Israel Journal of Mathematics
14 Transactions of the American Mathematical Society
14 Journal of Modern Dynamics
13 Duke Mathematical Journal
10 Journal d’Analyse Mathématique
9 Geometriae Dedicata
9 Annals of Mathematics. Second Series
7 Proceedings of the American Mathematical Society
7 Journal of the American Mathematical Society
7 Geometry & Topology
6 Publications Mathématiques
6 Mathematische Annalen
6 Geometric and Functional Analysis. GAFA
6 Discrete and Continuous Dynamical Systems
5 Inventiones Mathematicae
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Advances in Mathematics
4 Groups, Geometry, and Dynamics
3 Communications in Mathematical Physics
3 Memoirs of the American Mathematical Society
3 Results in Mathematics
3 Topology and its Applications
3 Annals of Global Analysis and Geometry
3 Differential Geometry and its Applications
3 Bulletin of the American Mathematical Society. New Series
3 Electronic Research Announcements of the American Mathematical Society
3 Transformation Groups
3 Journal of the European Mathematical Society (JEMS)
2 Nonlinearity
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Commentarii Mathematici Helvetici
2 Compositio Mathematica
2 Journal of Functional Analysis
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Communications on Pure and Applied Mathematics
1 The Annals of Probability
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Hokkaido Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Algebra
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Revista de la Unión Matemática Argentina
1 Tohoku Mathematical Journal. Second Series
1 European Journal of Combinatorics
1 Bulletin of the Korean Mathematical Society
1 Annals of Pure and Applied Logic
1 \(K\)-Theory
1 Forum Mathematicum
1 Sugaku Expositions
1 The Journal of Geometric Analysis
1 Vestnik St. Petersburg University. Mathematics
1 Journal of Mathematical Sciences (New York)
1 The Bulletin of Symbolic Logic
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Journal of Mathematical Logic
1 Journal of High Energy Physics
1 Advances in Geometry
1 Algebraic & Geometric Topology
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of the Australian Mathematical Society
1 Stochastics and Dynamics
1 Milan Journal of Mathematics
1 Central European Journal of Mathematics
1 Journal of Algebra and its Applications
1 Theoretical and Applied Mechanics
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Topology
1 Journal of Topology and Analysis
1 Confluentes Mathematici
1 Japanese Journal of Mathematics. 3rd Series
1 Journal of Pseudo-Differential Operators and Applications
1 Electronic Journal of Graph Theory and Applications
1 Journal de l’École Polytechnique – Mathématiques
1 Annales Henri Lebesgue

Citations by Year