Displaying similar documents to “Relations between Finsler and affine connections”

Homogeneous variational problems and Lagrangian sections

D.J. Saunders (2016)

Communications in Mathematics

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We define a canonical line bundle over the slit tangent bundle of a manifold, and define a Lagrangian section to be a homogeneous section of this line bundle. When a regularity condition is satisfied the Lagrangian section gives rise to local Finsler functions. For each such section we demonstrate how to construct a canonically parametrized family of geodesics, such that the geodesics of the local Finsler functions are reparametrizations.

On Finsler connections.

Angel Montesinos (1979)

Revista Matemática Hispanoamericana

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A new definition for lifts and lowerings is given, linking the different tensor algebras involved in the usual treatment of Finsler manifolds. By means of them, the relation between the different classes of linear connections is made clearer.

Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces.

Sorin Dragomir (1989)

Collectanea Mathematica

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We study the geometry of the second fundamental form of a Cauchy-Riemann submanifold of a Kaehlerian Finsler space M2n; any totally-real submanifold of M2n with v-flat normal connection is shown to be a Berwald-Cartan space.