On Eisenhart's type theorem for sub-Riemannian metrics on step \(2\) distributions with ad-surjective Tanaka symbols

DOI10.1134/s1560354724020023zbMATH Open1541.53045MaRDI QIDQ6556807

Igor Zelenko, Zaifeng Lin

Publication date: 17 June 2024

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

Riemannian geometrysub-Riemannian geometryseparation of variablesorbital equivalencenilpotent approximationsub-Riemannian geodesicsgraded nilpotent Lie algebrasoverdetermined PDEsTanaka symbol

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30) Sub-Riemannian geometry (53C17) Vector distributions (subbundles of the tangent bundles) (58A30)

Cites Work

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• On differential systems, graded Lie algebras and pseudo-groups
• Sur la réductibilité d'un espace de Riemann
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• A Comprehensive Introduction to Sub-Riemannian Geometry

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