Surfaces de Willmore et groupes de lacets

F. Helein

Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995)

  • page 1-14

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Helein, F.. "Surfaces de Willmore et groupes de lacets." Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995): 1-14. <http://eudml.org/doc/112109>.

@article{Helein1994-1995,
author = {Helein, F.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Willmore surfaces; conformal Gauß maps; integrable system methods; loop groups},
language = {fre},
pages = {1-14},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Surfaces de Willmore et groupes de lacets},
url = {http://eudml.org/doc/112109},
year = {1994-1995},
}

TY - JOUR
AU - Helein, F.
TI - Surfaces de Willmore et groupes de lacets
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1994-1995
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 14
LA - fre
KW - Willmore surfaces; conformal Gauß maps; integrable system methods; loop groups
UR - http://eudml.org/doc/112109
ER -

References

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  1. [Bättig-Hélein] D. Bättig, F. Hélein, Willmore immersion and Loop groups, en préparation. Zbl0938.53033
  2. [Blaschke] W. Blaschke, Vorlesungen über Differentialgeometrie, III, Springer, Berlin1929, JFM55.0422.01
  3. [Bryant 1] R. Bryant, A duality theorem for Willmore surfaces, J. Diff. Geom.20 (1984), 23-53. Zbl0555.53002MR772125
  4. [Bryant 2] R. Bryant, Surfaces in Conformal Geometry, Amer. Math. Soc. Proc. Symp. Pure Maths.48 (1988), 227-40. Zbl0654.53010MR974338
  5. [Burstall-Ferus-Pedit-Pinkall] F. Burstall, D. Ferus, F. Pedit, U. Pinkall, Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras, Ann. of Math.138 (1993), 173-212. Zbl0796.53063MR1230929
  6. [Dorfmeister-Pedit-Wu] J. Dorfmeister, F. Pedit, H. Wu, Weierstrass type representation of harmonic maps into symmetric spaces, Ann. of Math. Zbl0932.58018
  7. [Li-Yau] P. Li, S.T. Yau, A new conformal invariant and its application to the Willmore conjecture and first eigenvalues of compact surfaces, Invent. Math.69 (1982), 269-91. Zbl0503.53042MR674407
  8. [Pressley-Segal] A.N. Pressley, G. Segal, Loop groups, Oxford Math. Monographs, Clarendon Press, Oxford1986. Zbl0618.22011MR900587
  9. [Simon] L. Simon, Existence of surfaces minimizing the Willmore functional, prépublication. Zbl0848.58012
  10. [Uhlenbeck] K. Uhlenbeck, Harmonic maps into Lie groups, J. Diff. Geom.30 (1989), 1-50. Zbl0677.58020MR1001271
  11. [White] J.H. White, A global invariant of conformal mapings in space, Proc. Amer. Math. Soc.38 (1973), 162-4. Zbl0256.53008MR324603
  12. [Willmore] T.J. Willmore, Riemannian Geometry, Oxford Science Publications, Oxford1993. Zbl0797.53002MR1261641

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