Homogeneous variational problems and Lagrangian sections
Communications in Mathematics (2016)
- Volume: 24, Issue: 2, page 115-123
- ISSN: 1804-1388
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topSaunders, D.J.. "Homogeneous variational problems and Lagrangian sections." Communications in Mathematics 24.2 (2016): 115-123. <http://eudml.org/doc/287911>.
@article{Saunders2016,
abstract = {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.},
author = {Saunders, D.J.},
journal = {Communications in Mathematics},
keywords = {Finsler geometry; line bundle; geodesics; Finsler geometry; line bundle; geodesics},
language = {eng},
number = {2},
pages = {115-123},
publisher = {University of Ostrava},
title = {Homogeneous variational problems and Lagrangian sections},
url = {http://eudml.org/doc/287911},
volume = {24},
year = {2016},
}
TY - JOUR
AU - Saunders, D.J.
TI - Homogeneous variational problems and Lagrangian sections
JO - Communications in Mathematics
PY - 2016
PB - University of Ostrava
VL - 24
IS - 2
SP - 115
EP - 123
AB - 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.
LA - eng
KW - Finsler geometry; line bundle; geodesics; Finsler geometry; line bundle; geodesics
UR - http://eudml.org/doc/287911
ER -
References
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