TY - THES
T1 - Integrability of Continuous Tangent Sub-bundles
Y1 - 2015
A1 - Sina TÃ¼reli
KW - Dynamical Systems, Global Analysis, Frobenius Theorem, Integrability
AB - In 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.
PB - SISSA
UR - http://urania.sissa.it/xmlui/handle/1963/34630
U1 - 34833
U2 - Mathematics
U5 - MAT/05
ER -