The obstacle problem and direct products of unfurled swallowtails
Oleg Myasnichenko (1997)
Banach Center Publications
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Oleg Myasnichenko (1997)
Banach Center Publications
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Popescu, Marcela, Popescu, Paul (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Enrico Massa, Stefano Vignolo (2003)
Extracta Mathematicae
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S. Janeczko (2000)
Annales Polonici Mathematici
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Let (P,ω) be a symplectic manifold. We find an integrability condition for an implicit differential system D' which is formed by a Lagrangian submanifold in the canonical symplectic tangent bundle (TP,ὡ).
Prykarpatsky, Anatoliy K. (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Wainberg, Dorin (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Go-O Ishikawa (1999)
Banach Center Publications
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Chavchanidze, G. (2001)
Georgian Mathematical Journal
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Lee, Brian (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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H. Sussmann (1995)
Banach Center Publications
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Golenia, Jolanta, Pavlov, Maxim V., Popowicz, Ziemowit, Prykarpatsky, Anatoliy K. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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F. Pelletier, L. Bouche (1995)
Banach Center Publications
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In the sub-Riemannian framework, we give geometric necessary and sufficient conditions for the existence of abnormal extremals of the Maximum Principle. We give relations between abnormality, -rigidity and length minimizing. In particular, in the case of three dimensional manifolds we show that, if there exist abnormal extremals, generically, they are locally length minimizing and in the case of four dimensional manifolds we exhibit abnormal extremals which are not -rigid and which...