tangent bundle

(redirected from Tangent manifold)

tangent bundle

[′tan·jənt ‚bənd·əl]
(mathematics)
The fiber bundle T (M) associated to a differentiable manifold M which is composed of the points of M together with all their tangent vectors. Also known as tangent space.
References in periodicals archive ?
Obviously, this study is based on the geometry of tangent manifold TM which carries some natural object fields as Liouville vector field C, tangent structure J, vertical distribution V and the semispray S defined as a vector field on TM with the property J(S) = C.
The geometry of Lagrange spaces is presented in chapter II as a study subordinated to the geometry of tangent manifold using the principles of Analytical Mechanics given by variational problem on the integral of action of a regular Lagrangian, the law of conservation, Nother theorem etc.