Nonembedding and nonextension results in special holonomy

Book Section

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.

Full Text

Duke Authors

Cited Authors

  • Bryant, RL