Distinguished geodesics and jacobi fields on first order jet spaces

Vladimir Balan; Nicoleta Voicu

Open Mathematics (2004)

  • Volume: 2, Issue: 4, page 516-526
  • ISSN: 2391-5455

Abstract

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In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.

How to cite

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Vladimir Balan, and Nicoleta Voicu. "Distinguished geodesics and jacobi fields on first order jet spaces." Open Mathematics 2.4 (2004): 516-526. <http://eudml.org/doc/268814>.

@article{VladimirBalan2004,
abstract = {In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.},
author = {Vladimir Balan, Nicoleta Voicu},
journal = {Open Mathematics},
keywords = {58A20; 53C22; 53B15},
language = {eng},
number = {4},
pages = {516-526},
title = {Distinguished geodesics and jacobi fields on first order jet spaces},
url = {http://eudml.org/doc/268814},
volume = {2},
year = {2004},
}

TY - JOUR
AU - Vladimir Balan
AU - Nicoleta Voicu
TI - Distinguished geodesics and jacobi fields on first order jet spaces
JO - Open Mathematics
PY - 2004
VL - 2
IS - 4
SP - 516
EP - 526
AB - In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.
LA - eng
KW - 58A20; 53C22; 53B15
UR - http://eudml.org/doc/268814
ER -

References

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