On affine maps between affinely connected manifolds

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1990 English Publisher:Springer Science and Business Media LLCJournal:Geometriae Dedicata, volume 33 (issn: 0046-5755, eissn: 1572-9168,

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Authors: Martin Linden; Helmut Reckziegel;

doi: 10.1007/bf00147604

On affine maps between affinely connected manifolds

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Abstract

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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University of Cologne
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University of Bonn
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