Differential geometry of tangent bundles of order 2

DOI10.2996/kmj/1138845701zbMath0167.19703OpenAlexW2076549016WikidataQ115224465 ScholiaQ115224465MaRDI QIDQ5554094

Kentaro Yano, Shigeru Ishihara

Publication date: 1968

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138845701

zbMATH Keywords

differential geometry

Related Items (18)

The flattened infinitesimal transformations generated by the infinitesimal concircular transformations ⋮ Deformed lifts in the bundle of 2-jets ⋮ Geometry of bounded Fréchet manifolds ⋮ Tensor fields and connections in cross-sections in the tangent bundle of order $2$ ⋮ Algèbre de Lie attachée à la structure presque tangente d'ordre 2. (The Lie algebra associated to an almost tangent structure of order 2) ⋮ VB-structures and generalizations ⋮ \(p\)-geodesic transformations induced by infinitesimal holomorphically projective transformations of Kähler spaces ⋮ Tensor fields and connections on a cross-section in the tangent bundle of order $r$ ⋮ Differential-geometric structures on manifolds ⋮ Isomorphism classes for higher order tangent bundles ⋮ Variational principles for conformal geodesics ⋮ On preservation of the order of flattening by an induced diffeomorphism ⋮ Differential geometry on almost tangent manifolds ⋮ Structures on differentiable manifolds ⋮ On time-dependent transformation in Newtonian mechanics: formal theory on the relativity of force ⋮ Almost tangent manifolds of second order ⋮ Second-order tangent structures ⋮ Feuilletages transversalement tangents

Cites Work

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• On the almost-complex structure of tangent bundles of Riemannian spaces
• On the tangent bundles of Finsler and Riemannian manifolds
• On the Geometry of the Tangent Bundle.
• Linear Connections on Tangent Bundles
• The Tangent Bundle of a Locally Symmetric Space
• Almost complex structures induced in tangent bundles
• Prolongations of G-Structures to Tangent Bundles

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