The fundamental group of compact manifolds without conjugate points
نویسندگان
چکیده
منابع مشابه
The fundamental group of compact manifolds without conjugate points
The fundamental group of compact manifolds without conjugate points.
متن کاملPdmi Preprint | 05/2002 on the Fundamental Group of a Compact Space without Conjugate Points
In 1986, C. Croke and V. Schroeder proved that the fundamental group ? of a compact analytic Riemannian manifold without conjugate points possesses the following property: every abelian subgroup ? 0 of ? is straight, that is, word metrics of ? and ? 0 are Lipschitz equivalent on ? 0. In this paper we prove that the same property holds for the fundamental group of any compact length space withou...
متن کاملThe Fundamental Group of S1-manifolds
We address the problem of computing the fundamental group of a symplectic S-manifold for non-Hamiltonian actions on compact manifolds, and for Hamiltonian actions on non-compact manifolds with a proper moment map. We generalize known results for compact manifolds equipped with a Hamiltonian S-action. Several examples are presented to illustrate our main results.
متن کاملThe Fundamental Group of S-manifolds
We address the problem of computing the fundamental group of a symplectic S1-manifold for non-Hamiltonian actions on compact manifolds, and for Hamiltonian actions on non-compact manifolds with a proper moment map. We generalize known results for compact manifolds equipped with a Hamiltonian S1-action. Several examples are presented to illustrate our main results.
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 1986
ISSN: 0010-2571,1420-8946
DOI: 10.1007/bf02621908