01024nas a2200121   4500008004100000245005200041210005100093260001000144520060600154653007300760100001800833856005100851       2015                        en  d00aIntegrability of Continuous Tangent Sub-bundles0 aIntegrability of Continuous Tangent Subbundles  bSISSA3 aIn this thesis, the main aim is to study the integrability properties of continuous
tangent sub-bundles, especially those that arise in the study of dynamical systems.
After the introduction and examples part we start by studying integrability
of such sub-bundles under different regularity and dynamical assumptions.
Then we formulate a continuous version of the classical Frobenius theorem
and state some applications to such bundles, to ODE and PDE.
Finally we close of by stating some ongoing work related to interactions
between integrability, sub-Riemannian geometry and contact geometry.10aDynamical Systems, Global Analysis, Frobenius Theorem, Integrability1 aTüreli, Sina  uhttp://urania.sissa.it/xmlui/handle/1963/34630