Existence results for embedded minimal surfaces of controlled topological type, II

Jürgen Jost

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1986)

  • Volume: 13, Issue: 3, page 401-426
  • ISSN: 0391-173X

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Jost, Jürgen. "Existence results for embedded minimal surfaces of controlled topological type, II." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 13.3 (1986): 401-426. <http://eudml.org/doc/83985>.

@article{Jost1986,
author = {Jost, Jürgen},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {strictly convex body; minimal disk; minimal surface; positive mean curvature; free boundary problem},
language = {eng},
number = {3},
pages = {401-426},
publisher = {Scuola normale superiore},
title = {Existence results for embedded minimal surfaces of controlled topological type, II},
url = {http://eudml.org/doc/83985},
volume = {13},
year = {1986},
}

TY - JOUR
AU - Jost, Jürgen
TI - Existence results for embedded minimal surfaces of controlled topological type, II
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1986
PB - Scuola normale superiore
VL - 13
IS - 3
SP - 401
EP - 426
LA - eng
KW - strictly convex body; minimal disk; minimal surface; positive mean curvature; free boundary problem
UR - http://eudml.org/doc/83985
ER -

References

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  1. [I] J. Jost, Existence results for embedded minimal surfaces of controlled topological type, I, Ann. Scuola Norm. Sup. Pisa, Cl. Sci., (4) 13 (1986), pp. 15-50. Zbl0619.49019MR863634
  2. [AW] W. Allard, On the first variation of a varifold, Ann. of Math., 95 (1972), pp. 417-491. Zbl0252.49028MR307015
  3. [A] F. Almgren, The homotopy groups of the integral cycle groups, Topology, 1 (1962), pp. 257-299. Zbl0118.18503MR146835
  4. [GHN] M. Grüter - S. Hildebrandt - J.C.C. Nitsche, On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area, Manuscripta Math., 35 (1981), pp. 387-410. Zbl0483.49037MR636464
  5. [GJ1] M. Grüter - J. Jost, Allard type regularity results for varifolds with free boundaries, Ann. Scuola Norm. Sup. Pisa, Cl. Sci., (4) 13 (1986), pp. 129-169. Zbl0615.49018MR863638
  6. [GJ2] M. Grüter - J. Jost, On embedded minimal disks in convex bodies, Ann. Inst. H. Poincaré, Analyse non linéaire, 3 (1986), pp. 345-390. Zbl0617.49017MR868522
  7. [HN] S. Hildebrandt - J.C.C. Nitsche, Geometric properties of minimal surfaces with free boundaries, Math. Z., 184 (1983), pp. 497-509. Zbl0505.49020MR719490
  8. [Kl] W. Klingenberg, Lectures on closed geodesics, Springer, Berlin - Heidelberg - New York, 1978. Zbl0397.58018MR478069
  9. [Kü] A. Küster, An optimal estimate of the free boundary of a minimal surface, J. reine angew. Math., 349 (1984), pp. 55-62. Zbl0527.53006MR743964
  10. [MSY] W. Meeks - L. Simon - S.T. Yau, Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature, Ann. of Math., 146 (1982), pp. 621-659. Zbl0521.53007MR678484
  11. [N] J. Nitsche, Stationary partitioning of convex bodies, Arch. Rat. Mech. Anal., 89 (1985), pp. 1-19. Zbl0572.52005MR784101
  12. [P] J. Pitts, Existence and regularity of minimal surfaces on Riemannian manifolds, Math. Notes 27, Princeton Univ. Press, 1981. Zbl0462.58003MR626027
  13. [SS] L. Simon - F. Smith, On the existence of embedded minimal 2-spheres in the 3-sphere, endowed with an arbitrary metric, to appear. Zbl0511.49021
  14. [Sm] B. Smyth, Stationary minimal surfaces with boundary on a simplex, Invent. Math., 76 (1984), pp. 411-420. Zbl0527.53005MR746536
  15. [St] M. Struwe, On a free boundary problem for minimal surfaces, Invent. Math., 75 (1984), pp. 547-560. Zbl0537.35037MR735340

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