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pro vyhledávání: '"Marc Arcostanzo"'
Autor:
Marc Arcostanzo
Publikováno v:
Ergodic Theory and Dynamical Systems. 41:48-65
It is proved that a symplectic twist map of the cotangent bundle $T^{\ast }\mathbb{T}^{d}$ of the $d$-dimensional torus that is without conjugate points is $C^{0}$-integrable, that is $T^{\ast }\mathbb{T}^{d}$ is foliated by a family of invariant $C^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eeb8c600e2d3b6020592827fea69b66d
https://doi.org/10.1017/etds.2019.49
https://doi.org/10.1017/etds.2019.49
Publikováno v:
Mathematische Zeitschrift. 280:165-194
We prove that all the Tonelli Hamiltonians defined on the cotangent bundle $T^*\T^n$ of the $n$-dimensional torus that have no conjugate points are $C^0$ integrable, i.e. $T^*\T^n$ is $C^0$ foliated by a family $\Fc$ of invariant $C^0$ Lagrangian gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c13047835a3e196576b9d044457a0a59
https://doi.org/10.1007/s00209-015-1417-8
https://doi.org/10.1007/s00209-015-1417-8
Autor:
René Michel, Marc Arcostanzo
Publikováno v:
Geometriae Dedicata. 76:197-209
We give a geometrical proof of a Muhometov type inequality, for a single Riemannian metric defined on a closed disc in the plane. We mainly study the case of equality which is achieved if and only if the distance between points on the boundary is inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d152acafd1a9aed1798cdcd6ad7103c0
https://doi.org/10.1023/a:1005197117909
https://doi.org/10.1023/a:1005197117909
Autor:
Marc Arcostanzo
Publikováno v:
Commentarii Mathematici Helvetici. 69:229-248
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a0142500879830173c72ef3754cb360
https://doi.org/10.1007/bf02564484
https://doi.org/10.1007/bf02564484
Autor:
Marc Arcostanzo
Publikováno v:
Séminaire de théorie spectrale et géométrie. 10:25-33
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3edd0a43f393cbc03a7144132a78b471
https://doi.org/10.5802/tsg.98
https://doi.org/10.5802/tsg.98
Autor:
Erwann Delay, Marc Arcostanzo
We give a Riccati type formula adapted for two metrics having the same geodesics rays starting from a point or orthogonal to an hypersurface, one of these metrics being a warped product if the dimension $n$ is greater than or equal to 3. This formula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7786876ae3b2445aa2b6bf807df23bf9
