Nonembedding and nonextension results in special holonomy
Differential Geometry
2012-06-01 v1
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.
Cite
@article{arxiv.1205.7023,
title = {Nonembedding and nonextension results in special holonomy},
author = {Robert L. Bryant},
journal= {arXiv preprint arXiv:1205.7023},
year = {2012}
}
Comments
17 pages