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Affine manifolds with dilations

โœ Scribed by Kyung Bai Lee; Joonkook Shin

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
593 KB
Volume
86
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

An affine manifold is called a manifold with dilations if its holonomy is contained in a group of the form G = N x (A x K) c Aff(@), w h ere N is a nilpotent group acting simply transitively on IEe; K is a compact subgroup, and A is a l-parameter subgroup of "dilations". Suppose (Me, G) is a compact connected affine manifold with dilations of dimension 2 2. Assume that the holonomy group acts on the image of a development map as a covering transformation. We prove that: If M is geodesically incomplete, then it is finitely covered by a Hopf manifold, (@ -0)/Z g S' x Se-'. 0 1998 Elsevier Science B.V.

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