Two sufficient criteria are established for complete integrability of piecewise-C1 distributions that may be discontinuous, extending the Frobenius theorem to bi-Lipschitz coordinates.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Determines the GL(n,R)-invariant and Isom-invariant statistical connections on the centered Gaussian model and describes the corresponding moduli spaces under two categorical equivalence relations.
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Complete Integrability for Piecewise-Smooth Distributions
Two sufficient criteria are established for complete integrability of piecewise-C1 distributions that may be discontinuous, extending the Frobenius theorem to bi-Lipschitz coordinates.
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Invariant statistical connections on the multivariate centered Gaussian model and their moduli spaces
Determines the GL(n,R)-invariant and Isom-invariant statistical connections on the centered Gaussian model and describes the corresponding moduli spaces under two categorical equivalence relations.