Nonholonomic manifolds and nilpotent analysis

DOI10.1016/0393-0440(88)90032-0zbMath0693.53006OpenAlexW2049426878MaRDI QIDQ908517

Anatoly M. Vershik, V. Ya. Gershkovich

Publication date: 1988

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(88)90032-0

zbMATH Keywords

graded Lie algebrasnonholonomic manifoldsLagrange-Hamilton formalismnonholonomic geodesic flownonholonomic Riemannian geometry

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Nonholonomic manifolds and nilpotent analysis, Sub-Riemannian structures on 3D Lie groups, Small sub-Riemannian balls on \(\mathbf R^3\), Tangent maps and tangent groupoid for Carnot manifolds, Privileged coordinates and nilpotent approximation of Carnot manifolds. I: General results, From Grushin to Heisenberg via an isoperimetric problem, Sub-Riemannian Geometry and Hypoelliptic Operators, Reduction of some classical non-holonomic systems with symmetry, Nonholonomic Riemann and Weyl tensors for flag manifolds, Sub-Finsler horofunction boundaries of the Heisenberg group, Comparison theorems for conjugate points in sub-Riemannian geometry, The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups

Cites Work

• On Carnot-Caratheodory metrics
• Nonholonomic manifolds and nilpotent analysis
• Fundamental solutions and geometry of the sum of squares of vector fields
• Sub-Riemannian geometry
• Fundamental solutions for second order subelliptic operators
• Differential geometric control theory. Proceedings of the Conference held at Michigan Technological University, June 28 - July 2, 1982
• Hypoelliptic differential operators and nilpotent groups
• Nilpotent Lie groups: Structure and applications to analysis
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Exterior differential systems and the calculus of variations
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Morse Theory. (AM-51)
• Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques
• Orbits of Families of Vector Fields and Integrability of Distributions
• Analysis on Lie groups
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