Minimising currents and the stable norm in codimension one;Courants minimisants et norme stable en codimension un

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 12, 2001, Pages 1095-1100

  Auer, Franz ^a   Bangert, Victor ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347117527     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)02188-7     Document Type: Article

References (19)

1. Arnoux F., Levitt G. Sur l'unique ergodicité des 1-formes fermées singulières. Invent. Math. 84:1986;141-156.
2. Aubry S. The concept of anti-integrability: definition, theorems and applications to the standard map. McGehee R., Meyer K.R. Twist Mappings and Their Applications. IMA Volumes in Math. Appl. 44:1992;7-54 Springer.
3. Bangert V. Minimal geodesics. Ergodic Theory Dynamical Systems. 10:1990;263-286.
4. Bangert V. Geodesic rays, Busemann functions and monotone twist maps. Calc. Var. 2:1994;49-63.
5. Bangert V. Minimal measures and minimizing closed normal one-currents. Geom. Funct. Anal. (GAFA). 9:1999;413-427.
6. Burago D., Ivanov S., Kleiner B. On the structure of the stable norm of periodic metrics. Math. Res. Lett. 4:1997;791-808.
7. Cafarelli L.A., de la Llave R., Plane-like minimizers in periodic media, Preprint, 2000.
8. Federer H. Geometric Measure Theory. 1969;Springer.
9. Federer H. Real flat chains, cochains and variational problems. Indiana Univ. Math. J. 24:1974;351-407.
10. Gromov M. Foliated Plateau problem, part 1: Minimal varieties. Geom. Funct. Anal. (GAFA). 1:1991;14-79.
11. Lawson H.B. The stable homology of a flat torus. Math. Scand. 36:1975;49-73.
12. Massart D. Stable norms of surfaces: local structure of the unit ball at rational directions. Geom. Funct. Anal. (GAFA). 7:1997;996-1010.
13. Mather J. Variational construction of connecting orbits. Ann. Inst. Fourier (Grenoble). 43:1993;1349-1386.
14. Moschen M.P. Principio di massimo forte per le frontiere di misura minima. Ann. Univ. Ferrara Sez. VII (N.S.). 23:1977;165-168.
15. Moser J. Minimal solutions of variational problems on a torus. Ann. Inst. H. Poincaré Anal. Non Linéaire. 3:1986;229-272.
16. Senn W. Strikte Konvexität für Variationsprobleme auf dem n -dimensionalen Torus. Manuscripta Math. 71:1991;45-65.
17. Simon L. Lectures on Geometric Measure Theory. Proc. Centre Math. Anal. 3:1983;Australian National University.
18. Simon L. A strict maximum principle for area-minimizing hypersurfaces. J. Differential Geom. 26:1987;327-335.
19. Zworski M. Decomposition of normal currents. Proc. Amer. Math. Soc. 102:1988;831-839.