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On affine maps between affinely connected manifolds

โœ Scribed by Martin Linden; Helmut Reckziegel

Publisher
Springer
Year
1990
Tongue
English
Weight
393 KB
Volume
33
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

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 affinely connected manifold carries the compact-open topology.

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