Foliation Theory and it's applications

zbMATH Open1229.53033arXiv1204.0861MaRDI QIDQ3089746

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Publication date: 25 August 2011

Abstract: Subject of present paper is the review of results of authors on foliation theory and applications of foliation theory in control systems. The paper consists of two parts. In the first part the results of authors on foliation theory are presented, in the second part the results on applications of foliation theory in the qualitative theory of control systems are given. In paper everywhere smoothness of a class $C^{i}nfty$ is considered.

Full work available at URL: https://arxiv.org/abs/1204.0861

zbMATH Keywords

Riemannian manifoldfoliationorbitcontrol systemconnectionholonomy groupcontrollability setleafmetric functionlevel surfacesfoliation with singularitieslocal stability theoremtotal geodesic submanifold

Mathematics Subject Classification ID

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