Geometric structures associated with the Chern connection attached to a SODE

DOI10.1016/j.difgeo.2013.04.001zbMath1279.53012arXiv1207.3660OpenAlexW2018708120WikidataQ115356599 ScholiaQ115356599MaRDI QIDQ385741

Jaime Muñoz Masqué, María Eugenia Rosado María

Publication date: 11 December 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3660

zbMATH Keywords

second-order ordinary differential equationChern connectionjet bundlediffeomorphism invariance\(G\)-structurelinear frameSODE

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Jets in global analysis (58A20) Issues of holonomy in differential geometry (53C29) Linear and affine connections (53B05) Differential invariants (local theory), geometric objects (53A55) (G)-structures (53C10) Natural bundles (58A32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Curvature properties of the Chern connection of twistor spaces
• Invariants différentiels d'un pseudogroupe de Lie. II
• Characteristic classes for \(G\)-structures
• Curvature of curvilinear 4-webs and pencils of one forms: Variation on a theorem of Poincaré, Mayrhofer and Reidemeister
• Observations sur le memoire precedent
• On the problem of linearizability of a 3-web
• Intégrabilité des G-structures définies par une 1-forme 0-déformable à valeurs dans le fibre tangent
• Shiing-shen Chern: 1911–2004
• A linear connection for higher-order ordinary differential equations
• SYSTEMS OF DIFFERENTIAL EQUATIONS OF THE SECOND ORDER
• A complete set of Bianchi identities for tensor fields along the tangent bundle projection
• The geometry of $G$-structures
• The Integrability Problem for G-Structures