On fundamental groups of manifolds of nonnegative curvature
β Scribed by Burkhard Wilking
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 259 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0926-2245
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π SIMILAR VOLUMES
We consider a class of second-order linear elliptic operators, intrinsically defined on Riemannian manifolds, that correspond to nondivergent operators in Euclidean space. Under the assumption that the sectional curvature is nonnegative, we prove a global Krylov-Safonov Harnack inequality and, as a
This note tries to decide which groups can occur as fundamental groups of complete afhnely flat manifolds. THEOREM 1.2. If a group is torsion-free and contains a polycylic subgroup of finite index, then it is isomorphic to the fundamental group TTJM) for some complete a&ely jut manifold M. For defi