Abstract
AbstractIf (M, g) is a riemannian nilmanifold, the homothetic metrics εg˜ on the universal cover M converge in the sense of Gromov for small ε. In this convergence the volume of balls and the number of closed geodesies go to a limit, and precise asymptotic estimates are given for these numbers.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference19 articles.
1. Growth of finitely generated solvable groups and curvature of Riemannian manifolds
2. Orbits of families of vector fields and integrability of distributions
3. Une inégalité isopérimétrique sur le groupe d'Heisenberg;Pansu;C.R. Acad. Sci.,1982
4. Certain applications of ergodic theory to the investigation of manifolds of negative curvature;Margulis;Funkc. Analiz i Prilozen,1969
5. On a class of homogeneous spaces;Malcev;Isvestiya,1949
Cited by
116 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献