Displaying similar documents to “Complex Lagrange spaces.”

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.

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.

Editorial

Marcella Palese (2012)

Communications in Mathematics

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