Geodesic
A Differential Geometry Associated with Dissipative Systems
Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 433-451

Voir la notice de l'article provenant de la source Cambridge University Press

Consider the following problem of Lagrange in the calculus of variations: relative to differentiable curves xi(t) satisfying xi(t0) = xi 0 and xi(t1) = xi 1 find a curve minimizing 1 
McKiernan, M. A. A Differential Geometry Associated with Dissipative Systems. Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 433-451. doi: 10.4153/CMB-1965-030-3
@article{10_4153_CMB_1965_030_3,
     author = {McKiernan, M. A.},
     title = {A {Differential} {Geometry} {Associated} with {Dissipative} {Systems}},
     journal = {Canadian mathematical bulletin},
     pages = {433--451},
     year = {1965},
     volume = {8},
     number = {4},
     doi = {10.4153/CMB-1965-030-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-030-3/}
}
TY  - JOUR
AU  - McKiernan, M. A.
TI  - A Differential Geometry Associated with Dissipative Systems
JO  - Canadian mathematical bulletin
PY  - 1965
SP  - 433
EP  - 451
VL  - 8
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-030-3/
DO  - 10.4153/CMB-1965-030-3
ID  - 10_4153_CMB_1965_030_3
ER  - 
%0 Journal Article
%A McKiernan, M. A.
%T A Differential Geometry Associated with Dissipative Systems
%J Canadian mathematical bulletin
%D 1965
%P 433-451
%V 8
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-030-3/
%R 10.4153/CMB-1965-030-3
%F 10_4153_CMB_1965_030_3

[1] 1. Rund, H., The Differential Geometry of Finsler Spaces, Springer 1958. Google Scholar

[2] 2. Bazinet, J., Finsler Fatigue Geometry, thesis from University of Waterloo, 1964. Google Scholar

[3] 3. McKiernan, M. A., A General Hamilton-Jacobi Equation and Associated Problem of Lagrange, Canad. Math. Bull., Vol.7, no. 3, April 1965, 317-322. Google Scholar

[4] 4. John, Fritz, Partial Differential Equations, New York U., 1952-53. Google Scholar

[5] 5. Solkolnikoff, I. S., Tensor Analysis, Wiley, 1964. Google Scholar

[6] 6. Landau, L., Lifshitz, E., Classical Theory of Fields, Addison-Wesley, 1951. Google Scholar

Cité par Sources :