Good behaviour of Lie bracket at a superdensity point of the tangency set of a submanifold with respect to a rank 2 distribution
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Publication:2036600
DOI10.1007/S10476-020-0063-5zbMath1488.58003OpenAlexW3118932364MaRDI QIDQ2036600
Publication date: 29 June 2021
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10476-020-0063-5
distributionsintegral manifoldFrobenius theoremtangency set of a submanifold with respect to a distributionsuperdensity
Pfaffian systems (58A17) Integration on manifolds; measures on manifolds (58C35) Hausdorff and packing measures (28A78) Vector distributions (subbundles of the tangent bundles) (58A30)
Cites Work
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- Structure of tangencies to distributions via the implicit function theorem
- Structure of prescribed gradient domains for non-integrable vector fields
- Size of characteristic sets and functions with prescribed gradient
- Size of tangencies to non-involutve distributions
- The tangency of a C^1 smooth submanifold with respect to a non-involutive C^1 distribution has no superdensity points
- A note on a generalization of the Schwarz theorem about the equality of mixed partial derivatives
- Sur un théorème de traces. (On a trace theorem)
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