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arXiv:1205.7023 [math.DG]AbstractReferencesReviewsResources

Nonembedding and nonextension results in special holonomy

Robert L. Bryant

Published 2012-05-31Version 1

Constructions of metrics with special holonomy by methods of exterior differential systems are reviewed and the interpretations of these construction as `flows' on hypersurface geometries are considered. It is shown that these hypersurface 'flows' are not generally well-posed for smooth initial data and counterexamples to existence are constructed.

Comments: 17 pages
Journal: The many facets of geometry, 346-367, Oxford Univ. Press, Oxford, 2010
Categories: math.DG
Subjects: 58A15, 53C25
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