scientific article

zbMath1412.53053MaRDI QIDQ3122052

V. R. Krym

Publication date: 20 March 2019

Full work available at URL: http://diffjournal.spbu.ru/EN/numbers/2018.3/article.1.3.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

geodesicsub-Riemannian geometryconjugate pointconnectionJacobi equationSchouten curvature tensorabnormal geodesicnonholonomic distribution

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Geodesics in global differential geometry (53C22) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Sub-Riemannian geometry (53C17) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (3)

∇N-EINSTEIN ALMOST CONTACT METRIC MANIFOLDS ⋮ Unnamed Item ⋮ The Schouten curvature tensor and the Jacobi equation in sub-Riemannian geometry

Cites Work

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• Index form for nonholonomic distributions
• Equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space
• Rigidity of integral curves of rank 2 distributions
• Geodesic equations for a charged particle in the unified theory of gravitational and electromagnetic interactions
• The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution
• Jacobi fields for a nonholonomic distribution
• Existence of abnormal minimizing geodesics in sub-Riemannian geometry
• Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
• A survey of singular curves in sub-Riemannian geometry
• Causal structures on smooth manifolds
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Significance of Electromagnetic Potentials in the Quantum Theory
• Second-order conditions in extremal problems. The abnormal points
• Ordinary Differential Equations
• Quadratic sufficient minimality conditions for abnormal sub-Riemannian geodesics

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