Hostname: page-component-5c6d5d7d68-7tdvq Total loading time: 0 Render date: 2024-08-15T16:24:50.013Z Has data issue: false hasContentIssue false
  • English
  • Français

Rigidities of asymptotically Euclidean manifolds

Published online by Cambridge University Press:  17 April 2009

Seong-Hun Paeng
Seong-Hun Paeng
Affiliation:
Korea Institute for Advanced Study207-43 Cheongryangri-dongDongdaemun-guSeoul 130-012Korea e-mail: shpaeng@kias.re.kr
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let M be an n-dimensional compact Riemannian manifold. We study the fundamental group of M when the universal covering space of M, M is close to some Euclidean space ℝs asymptotically.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 521 - 528
Copyright
Copyright © Australian Mathematical Society 1999

References

[1]Burago, D. and Ivanov, S., ‘Riemannian tori without conjugate points are flat’, Geom. Funct. Anal. 4 (1994), 259–269.CrossRefGoogle Scholar
[2]Croke, C. and Schroeder, V., ‘The fundamental groups of manifolds without conjugate points’, Comment Math. Helv. 61 (1986), 161–175.Google Scholar
[3]Fukaya, K. and Yamaguchi, T., ‘The fundamental groups of almost nonnegatively curved manifolds’, Ann. of Math. 136 (1992), 253–333.Google Scholar
[4]Gromov, M., ‘Groups of polynomial growth and expanding maps’, Inst. Hautes Études Sci. Publ. Math. 53 (1981), 53–73.Google Scholar
[6]Gromov, M., Asymptotic invariants of infinite groups, London Math. Soc. lecture note series 182 (Cambridge Univ. Press, Cambridge, 1993).Google Scholar