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Synopsis
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, particularly differential topology, the double tangent bundle or the second tangent bundle refers to the tangent bundle T2M=T(TM) of the tangent bundle TM of a smooth manifold M. The double tangent bundle arises in the study of connections and second order ordinary differential equations, i.e. (semi)spray structures on smooth manifolds. The double tangent bundle is closely related to the second order jet bundle, which is an object specifically designed to hold the "2nd order derivative information" of smooth functions on smooth manifolds. Given a smooth map f : M to N there is an induced 1st-order derivative map Tf : TM to TN and so also a 2nd order derivative map T^2 f : T^2 M to T^2 N. The Lie Bracket of two vector fields on a manifold also has a formulation in terms of the double tangent bundle.
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Double Tangent Bundle
Edité par
Alphascript Publishing, 2010
ISBN 10 : 6130618476
ISBN 13 : 9786130618476
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In mathematics, particularly differential topology, the double tangent bundle or the second tangent bundle refers to the tangent bundle T2M=T(TM) of the tangent bundle TM of a smooth manifold M. The double tangent bundle arises in the study of connections and second order ordinary differential equations, i.e. (semi)spray structures on smooth manifolds. The double tangent bundle is closely related to the second order jet bundle, which is an object specifically designed to hold the '2nd order derivative information' of smooth functions on smooth manifolds. Given a smooth map f : M to N there is an induced 1st-order derivative map Tf : TM to TN and so also a 2nd order derivative map T^2 f : T^2 M to T^2 N. The Lie Bracket of two vector fields on a manifold also has a formulation in terms of the double tangent bundle. 80 pp. Englisch. N° de réf. du vendeur 9786130618476
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Double Tangent Bundle | Mathematics, Differential topology, Tangent bundle, Differentiable manifold, Connection (vector bundle), Spray (mathematics), Jet bundle, Lie bracket of vector fields, Vector field
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Taschenbuch. Etat : Neu. Double Tangent Bundle | Mathematics, Differential topology, Tangent bundle, Differentiable manifold, Connection (vector bundle), Spray (mathematics), Jet bundle, Lie bracket of vector fields, Vector field | Frederic P. Miller (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130618476 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 101383399
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