A New Conformal Invariant and Its Applications to the Wilmore Conjecture and the First Eigenvalue of Compact Surfaces.

Shing-Tung Yau; Peter Li

Inventiones mathematicae (1982)

  • Volume: 69, page 269-292
  • ISSN: 0020-9910; 1432-1297/e

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Yau, Shing-Tung, and Li, Peter. "A New Conformal Invariant and Its Applications to the Wilmore Conjecture and the First Eigenvalue of Compact Surfaces.." Inventiones mathematicae 69 (1982): 269-292. <http://eudml.org/doc/142954>.

@article{Yau1982,
author = {Yau, Shing-Tung, Li, Peter},
journal = {Inventiones mathematicae},
keywords = {conformal immersion; minimal submanifold; Laplacian; mean curvature; higher total curvature},
pages = {269-292},
title = {A New Conformal Invariant and Its Applications to the Wilmore Conjecture and the First Eigenvalue of Compact Surfaces.},
url = {http://eudml.org/doc/142954},
volume = {69},
year = {1982},
}

TY - JOUR
AU - Yau, Shing-Tung
AU - Li, Peter
TI - A New Conformal Invariant and Its Applications to the Wilmore Conjecture and the First Eigenvalue of Compact Surfaces.
JO - Inventiones mathematicae
PY - 1982
VL - 69
SP - 269
EP - 292
KW - conformal immersion; minimal submanifold; Laplacian; mean curvature; higher total curvature
UR - http://eudml.org/doc/142954
ER -

Citations in EuDML Documents

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  1. F. Helein, Surfaces de Willmore et groupes de lacets
  2. A. El Soufi, S. Ilias, Le volume conforme et ses applications d'après Li et Yau
  3. Ahmad El Soufi, Applications harmoniques, immersions minimales et transformations conformes de la sphère
  4. Ahmad El Soufi, Saïd Ilias, Antonio Ros, Sur la première valeur propre des tores
  5. Xavier Xarles, Trivial points on towers of curves
  6. Florent Balacheff, Stéphane Sabourau, Diastolic and isoperimetric inequalities on surfaces
  7. Bruno Colbois, Spectre conforme et métriques extrémales
  8. Pierre Jammes, Extrema de valeurs propres dans une classe conforme
  9. Sylvestre Gallot, Finiteness theorems with integral conditions on curvature

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