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Parallel surfaces in affine 4- space

Parallel surfaces in affine 4- space We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in R4 which are degenerate and have vanishing cubic form (i.e. parallel second fundamental form). This completes the classification of parallel surfaces of which the first results were obtained in the beginning of this century by Blaschke and his collaborators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

Parallel surfaces in affine 4- space

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References (21)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Mathematische Seminar
Subject
Mathematics; Algebra; Differential Geometry; Combinatorics; Number Theory; Topology; Geometry
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/BF02941274
Publisher site
See Article on Publisher Site

Abstract

We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in R4 which are degenerate and have vanishing cubic form (i.e. parallel second fundamental form). This completes the classification of parallel surfaces of which the first results were obtained in the beginning of this century by Blaschke and his collaborators.

Journal

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals

Published: Aug 28, 2008

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