Geodesic
Theorem of Liv\v{s}ic type for dispersed billiards
Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 2, pp. 184-196

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Piecewise-Hölder functions on the phase space of a dispersed billiard are considered. It is shown that if the integral of such a function around any periodic trajectory is zero then the function itself is cohomologous to zero. 
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     author = {K. M. Efimov},
     title = {Theorem of {Liv\v{s}ic} type for dispersed billiards},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {184--196},
     publisher = {mathdoc},
     volume = {98},
     number = {2},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_2_a1/}
}
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K. M. Efimov. Theorem of Liv\v{s}ic type for dispersed billiards. Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 2, pp. 184-196. http://geodesic.mathdoc.fr/item/TMF_1994_98_2_a1/