Nonembedding and nonextension results in special holonomy
classification
🧮 math.DG
keywords
flowsholonomyhypersurfacespecialconsideredconstructedconstructionconstructions
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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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