Almost exponential maps and integrability results for a class of horizontally regular vector fields

Details Almost exponential maps and integrability results for a class of horizontally regular vector fields Almost exponential maps and integrability results for a class of horizontally regular vector fields

2012-01-25

arxiv.org/abs/1201.5228v1

Mathematics

Differential Geometry

arXiv admin note: material from arXiv:1106.2410v1, now three separate articles arXiv:1106.2410v2, arXiv:1201.5228, arXiv:1201.

Scientific paper

We show a higher order integrability theorem for distributions generated by a
family of vector fields under a horizontal regularity assumption on their
coefficients. We use as chart a class of almost exponential maps which we
discuss in details

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