Nonregular abnormal extremals of \(2\)-distribution: existence, second variation, and rigidity

DOI10.1023/A:1021766616913zbMath0959.58025MaRDI QIDQ1972799

Igor Zelenko

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

second variationrigiditydiagonalabnormal extremalnonholonomic distributionLegendre-Clebsch condition

Mathematics Subject Classification ID

Variational problems in infinite-dimensional spaces (58E99) General theory of differentiable manifolds (58A99) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Optimality conditions (49K99)

Related Items (11)

Varieties of minimal rational tangents of unbendable rational curves subordinate to contact structures ⋮ Introducing sub-Riemannian and sub-Finsler billiards ⋮ Fundamental form and the Cartan tensor of \((2,5)\)-distributions coincide ⋮ LINES ON HOLOMORPHIC CONTACT MANIFOLDS AND A GENERALIZATION OF -DISTRIBUTIONS TO HIGHER DIMENSIONS ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022 ⋮ Unbendable rational curves of Goursat type and Cartan type ⋮ Equivalence of variational problems of higher order ⋮ On variational approach to differential invariants of rank two distributions ⋮ Duality of singular paths for \((2,3,5)\)-distributions ⋮ Geometry of rank 2 distributions with nonzero Wilczynski invariants* ⋮ Geometric approach to Pontryagin's maximum principle

This page was built for publication: Nonregular abnormal extremals of \(2\)-distribution: existence, second variation, and rigidity