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

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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
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     title = {A {Differential} {Geometry} {Associated} with {Dissipative} {Systems}},
     journal = {Canadian mathematical bulletin},
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     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/}
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