The identities of affinely connected manifolds
β Scribed by Tracy Yerkes Thomas
- Publisher
- Springer-Verlag
- Year
- 1926
- Tongue
- French
- Weight
- 483 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Every affine map between two affinely connected manifolds is the composition of an affine submersion and an affine immersion; and the inverse image of an autoparallel submanifold by such maps is the union of autoparallel submanifolds. Furthermore, the Lie group of all affine transformations of an af
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