Prof. Dr. Gerhard KnieperRuhr-Universität Bochum
Fakultät für Mathematik
Lehrstuhl X (Analysis)
Gebäude NA, Etage 5, Raum 33
D-44780 Bochum
Telefon: +49-(0)234-32-22381 (22291)
Telefax: +49-(0)234-32-14357
E-mail:
gerhard.knieper@rub.de
Liste der Veröffentlichungen
- G. Knieper
Das Wachstum der Äquivalenzklassen geschlossener Geodätischer in kompakten Riemannschen Mannigfaltigkeiten
Archiv der Mathematik 40 (1983), 559-568
- G. Knieper
Mannigfaltigkeiten ohne konjugierte Punkte
Bonn. Math. Schr. 168 (1986)
- G. Knieper, H. Weiss
Regularity of entropy for geodesic flows
Proc. of the AMS, Contemporary Mathematics 101 (1987), 191-196
- G. Knieper, H. Weiss
Smoothness of measure theoretic entropy for Anosov flows
CalTech, Technical Report 1988
- G. Knieper, H. Weiss
Regularity of measure theoretic entropy for surfaces of negative curvature
Invent. Math. 95 (1989), 579-589
- A. Katok, G. Knieper, M. Pollicott, H. Weiss
Differentiability and analyticity of topological entropy for Anosov and geodesic flows
Invent. Math. 98 (1989), 581-597
- A. Katok, G. Knieper, M. Pollicott, H. Weiss
Differentiability of entropy for Anosov and geodesic flows
Bull. Am. Math. Soc., New Ser. 22, 2 (1990), 285-293
- K. Burns, G. Knieper
Rigidity of surfaces with no conjugate points
J. Differ. Geom. 34, 3 (1991), 623-650
- A. Katok, G. Knieper, H. Weiss
Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows
Commun. Math. Phys. 138 (1991), 19-31
- G. Knieper
Der geodätische Fluss einer Riemannschen Mannigfaltigkeit und die Entropie
Geometrie und Physik, 15-24, de Gruyter (1993)
- G. Knieper, H. Weiss
A surface with positive curvature and positive topological entropy
J. Differ. Geom. 39, 2 (1994), 229-249
- G. Knieper
Spherical means on compact Riemannian manifolds of negative curvature
Diff. Geom. and Appl. 4, 4 (1994), 361-390
G. Knieper - G. Knieper
A second derivative formula of the Liouville entropy at spaces of constant negative curvature
Ergod. Th. & Dynam. Sys. 17, 5 (1997), 1131-1135
- G. Knieper
On the asymptotic geometry of nonpositively curved manifolds
GAFA 7 (1997), 755-782
- G. Knieper
The uniqueness of the measure of maximal entropy for rank 1 manifolds
Annals of Math. 148 (1998), 291-314
- G. Knieper
Closed geodesics and the uniqueness of the maximal measure for rank 1 geodesic flows
Proc. of Symposia in Pure Mathematics 69 (2001), 573-590
- G. Knieper
Hyperbolic Dynamics and Riemannian Geometry
Handbook of Dynamical Systems, 1A, 453-545, North-Holland, Amsterdam (2002)
- M. Coornaert, G. Knieper
Growth of conjugacy classes in Gromov hyperbolic groups
GAFA 12 (2002), 464-478
- G. Knieper, H. Weiss
$C^\infty$ genericity of positive topological entropy for geodesic flows on $S^2$
J. Differ. Geom. 62, 1 (2002), 127-142
- M. Coornaert, G. Knieper
An upper bound for the growth of conjugacy classes in torsionfree word hyperbolic groups
International Journal of Algebra and Computation 14, 3 (2004), 395-401
- G. Knieper
The uniqueness of the maximal measure for geodesic flows on symmetric spaces of higher rank,
Israel Journal of Mathematics 149 (2005), 171-183
- J. Heber, G. Knieper, H. M. Shah
Asymptotically harmonic spaces in dimension 3
Proceedings of the AMS 135 (2007), 845-849
- G. Knieper, N. Peyerimhoff
Ergodic properties of isoparametric domains in spheres
Journal of Modern Dynamics, 2, No. 2, (2008), 1-20
- A. Altland, P. Braun, F. Haake, S. Heusler, G. Knieper, S. Müller
Near action-degenerate periodic-orbit bunches: a skeleton of chaos.
Path integrals, 40-47, World Sci. Publ., Hackensack, NJ, 2008
- E. Glasmachers, G. Knieper
Characterization of geodesic flows on $T^2$ with and without positive topological entropy
GAFA, 20 (2010), 1259-1277 - G. Knieper
New results on noncompact harmonic manifolds
Commentarii Mathematici Helvetici, 87 (2012), 669-703 - E. Glasmachers, G. Knieper
Minimal geodesic foliation on $T^2$ in case of vanishing topological entropy
Journal of Topology and Analysis, 3 No. 4 (2011), 1-10
Volume growth, entropy and the geodesic stretch
Mathematical Research Letters 2, 1 (1995), 1-20
Aktualisiert: 30.10.2012


