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arXiv · 1205.7023

Nonembedding and nonextension results in special holonomy

Robert L. Bryant
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Abstract

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.

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Robert L. Bryant. 2012-05-31. Nonembedding and nonextension results in special holonomy. https://arxiv.org/abs/1205.7023

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