A note on harmonic maps between surfaces

Jürgen Jost

Annales de l'I.H.P. Analyse non linéaire (1985)

  • Volume: 2, Issue: 6, page 397-405
  • ISSN: 0294-1449

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Jost, Jürgen. "A note on harmonic maps between surfaces." Annales de l'I.H.P. Analyse non linéaire 2.6 (1985): 397-405. <http://eudml.org/doc/78103>.

@article{Jost1985,
author = {Jost, Jürgen},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {energy integral; equicontinuous; conformal; branched covering; diffeomorphism; homotopic; harmonic maps; holomorphic quadratic differentials},
language = {eng},
number = {6},
pages = {397-405},
publisher = {Gauthier-Villars},
title = {A note on harmonic maps between surfaces},
url = {http://eudml.org/doc/78103},
volume = {2},
year = {1985},
}

TY - JOUR
AU - Jost, Jürgen
TI - A note on harmonic maps between surfaces
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1985
PB - Gauthier-Villars
VL - 2
IS - 6
SP - 397
EP - 405
LA - eng
KW - energy integral; equicontinuous; conformal; branched covering; diffeomorphism; homotopic; harmonic maps; holomorphic quadratic differentials
UR - http://eudml.org/doc/78103
ER -

References

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  1. [1] H. Brezis and J.M. Coron,Large solutions for harmonics maps in two dimensions,Comm. Math. Phys., t. 92, 1983, p. 203—215. Zbl0532.58006MR728866
  2. [2] J. Eells and L. Lemaire,Selected topics in harmonics maps,CBMS Regional Conf.1981. Zbl0515.58011
  3. [3] J. Eells and J.C. Wood,Restrictions on harmonic maps of surfaces,Top., t. 15, 1976, p. 263—266. Zbl0328.58008MR420708
  4. [4] M. Gerstenhaber and H.E. Rauch,On extremal quasiconformal mappings I, II,Proc. Nat. Ac. Sc. , t. 40, 1954, p. 808—812 and 991—994. Zbl0056.07502
  5. [5] J. Jost,The Dirichlet problem for harmonic maps from a surface with noudary onto a 2–sphere with non-constant boundary values,J. Diff. Geom., t. 19, 1984, p. 393—401. Zbl0551.58012MR755231
  6. [6] J. Jost ,Harmonic maps between surfaces,Springer Lecture Notes in Math., 1062, 1984. Zbl0542.58002MR754769
  7. [7] J. Jost and R. Schoen,On the existence of harmonic differmorphisms between surfaces,Inv. math., t. 66, 1982, p. 353—359. Zbl0488.58009MR656629
  8. [8] L. Lemaire,Applications harmoniques de surfaces Riemanniennes,J. Diff. Geom., t. 13, 1978, p. 51—78. Zbl0388.58003MR520601
  9. [9] J. Sacks and K. Uhlenbeck,The existence of minimal immersions of 2–spheres,Ann. Math., t. 113, 1981, p. 1—24. Zbl0462.58014MR604040
  10. [10] H. Sealey ,Some properties of harmonic mappings,Thesis, Univ., Warwick, 1980. Zbl0494.58002
  11. [11] K. Shibata,On the existence of a harmonic mapping,Osaka J. Math., t. 15, 1963, p. 173—211. Zbl0132.06004MR158062
  12. [12] K. Uhlenbeck,Variational problems for gauge fields, in : Seminar on Differential Geometry, S. T. Yau, Annals Math. Studies, Princeton University Press, Princeton, 1982. Zbl0481.58016MR645753

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