Bibliographic Details
| Title: |
Growth of discrete groups of isometries in negative curvature: a gap-property |
| Alternate Title: |
Croissance des groupes discrets d'isométries en courbure strictement négative : un minorant universel |
| Authors: |
Besson, Gérard1 G.Besson@fourier.ujf-grenoble.fr, Courtois, Gilles2 courtois@math.polytechnique.fr, Gallot, Sylvestre1 Sylvestre.Gallot@fourier.ujf-grenoble.fr |
| Source: |
Comptes Rendus. Mathématique. Nov2005, Vol. 341 Issue 9, p567-572. 6p. |
| Subjects: |
Curvature, Nilpotent groups, Entropy, Hadamard matrices, Curves |
| Abstract (English): |
Abstract: We prove that a finitely generated group acting without fixed point on a n-dimensional Cartan–Hadamard manifold of pinched sectional curvature is either virtually nilpotent or has entropy . To cite this article: G. Besson et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005). [Copyright &y& Elsevier] |
| Abstract (French): |
Résumé: Nous prouvons qu''''un sous groupe de type fini Γ, non virtuellement nilpotent, du groupe des isométries d''''une variété de Cartan–Hadamard de dimension n et de courbure sectionnelle vérifiant est d''''entropie algébrique minorée, . Pour citer cet article : G. Besson et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005).
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| Database: |
Engineering Source |
