Sur le volume minimal de R 2

Christophe Bavard; Pierre Pansu

Annales scientifiques de l'École Normale Supérieure (1986)

  • Volume: 19, Issue: 4, page 479-490
  • ISSN: 0012-9593

How to cite

top

Bavard, Christophe, and Pansu, Pierre. "Sur le volume minimal de ${R}^2$." Annales scientifiques de l'École Normale Supérieure 19.4 (1986): 479-490. <http://eudml.org/doc/82183>.

@article{Bavard1986,
author = {Bavard, Christophe, Pansu, Pierre},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {minimal volume; complete Riemannian surface; injectivity radius; surface area; sectional curvature},
language = {fre},
number = {4},
pages = {479-490},
publisher = {Elsevier},
title = {Sur le volume minimal de $\{R\}^2$},
url = {http://eudml.org/doc/82183},
volume = {19},
year = {1986},
}

TY - JOUR
AU - Bavard, Christophe
AU - Pansu, Pierre
TI - Sur le volume minimal de ${R}^2$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1986
PB - Elsevier
VL - 19
IS - 4
SP - 479
EP - 490
LA - fre
KW - minimal volume; complete Riemannian surface; injectivity radius; surface area; sectional curvature
UR - http://eudml.org/doc/82183
ER -

References

top
  1. [1] F. ALMGREN, Existence and regularity of solutions to elliptic variational problems with constraints (Mem. Amer. Math. Soc., vol. 4, 1976). Zbl0327.49043MR54 #8420
  2. [2] Ch. BAVARD, Le rayon d'injectivité des surfaces à courbure majorée (J. Diff. Geometry, vol. 19, 1984, p. 137-142). Zbl0536.53045MR86g:53043
  3. [3] Ch. BAVARD, Thèse de troisième cycle, Université Paris-XI, Orsay, mai 1984. 
  4. [4] M. S. BERGER et E. BOMBIERI, On Poincaré's isoperimetric problem for simple closed geodesics (J. of Funct. Analysis, vol. 42, 1981, p. 274-298). Zbl0469.58007MR82i:58023
  5. [5] G. BOL, Isoperimetrische Ungleichungen für Bereiche auf Flöchen (Jber. Deutsch. Math. Verein., vol. 51, 1941, p. 219-257). Zbl0026.08901MR8,338hJFM67.0697.02
  6. [6] I. D. BURAGO, Sur le rayon d'injectivité des surfaces à courbure majorée, Ukrainskii Geometriceskii Sbornik, vol. 21, 1978, p. 10-14, (en Russe). Zbl0438.53052
  7. [7] J. H. ESCHENBURG et J. O'SULLIVAN, Jacobi tensors and Ricci curvature (Math. Annalen, vol. 252, 1980, p. 1-26). Zbl0423.53035MR81k:53037
  8. [8] F. FIALA, Sur le problème des isopérimètres sur les surfaces ouvertes à courbure positive (Comment. Math. Helvetici, vol. 13, 1941, p. 293-346). Zbl0025.23003MR3,301bJFM67.0698.01
  9. [9] W. FLEMING, Flat chains over a finite coefficient group (Trans. A.M.S., vol. 121, 1966, p. 160-186). Zbl0136.03602MR32 #2554
  10. [10] D. GROMOLL, W. KLINGENBERG et W. MEYER, Riemannsche Geometrie im Grossen (Lecture Notes n° 55, Springer Verlag, Berlin..., 1968). Zbl0155.30701MR37 #4751
  11. [11] M. GROMOV, Volume and bounded cohomology (Publ. Math. I.H.E.S., vol. 56, 1982, p. 5-100). Zbl0516.53046MR84h:53053
  12. [12] M. GROMOV, On Paul Lévy's isoperimetric inequality, Preprint I.H.E.S., Bures-sur-Yvette, 1980. 
  13. [13] E. HEINTZE et H. KARCHER, A general comparison theorem with applications to volume estimates for submanifolds (Ann. Sci. E.N.S., Paris, vol. 11, 1978, p. 451-470). Zbl0416.53027MR80i:53026
  14. [14] H. B. LAWSON et J. SIMONS, On stable currents and their application to global problems in real and complex geometry (Ann. of Math., vol. 98, 1973, p. 427-450). Zbl0283.53049MR48 #2881
  15. [15] P. LÉVY, Problèmes concrets d'analyse fonctionnelle, Gauthier-Villars, Paris, 1951. Zbl0043.32302
  16. [16] V. MAZYA, Classes of domains and imbedding theorems for function spaces (Dokl. Ak. Nauk, vol. 133, 1960, p. 527-530). Zbl0114.31001MR23 #A3448

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.