# 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

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topVladimir 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 -

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