79
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

On the ranks of harmonic maps

Pages 1969-1993 | Published online: 02 Nov 2010

References

  • Aronszajn , N. 1957 . A Unique Continuation Theorem for Solutions of Elliptic Differential Equations or Inequalities of Second Order . J. Math. pures et appl., T. , 36 : 235 – 249 .
  • Caffarelli , L. and Friedman , A. 1985 . Partial Regularity for the zero set of linear and superlinear elliptic equations . J. Differential Equations , 60 : 420 – 433 .
  • Donnelly , H. and Fefferman , C. 1988 . Nodal Sets of Eigenfunctions on Riemannian Manifolds . Invent. Math , 93 : 161 – 183 .
  • Evans , L. and Gariepy , R. 1992 . Measure Theory and Fine Properties of Functions CRC Press Florida .
  • Federer , H. 1969 . “ Geometric Measure Theory ” . New York : Springer-Verlag .
  • Gromov , M. and Schoen , R. 1992 . Harmonic Maps into Singular Spaces and p-adic Superrigidity for Latices in Groups of Rank One . Publ. IHES , 76 : 165 – 246 .
  • Hardt , R. and Simon , L. 1989 . Nodal Sets for solutions of elliptic equations . J. Differential Geom , 30 : 505 – 522 .
  • Jin , Z. and Kazdan , J. 1991 . On the Rank of Harmonic Maps . Math. Z. , 207 : 535 – 537 .
  • Kazdan , J. 1988 . Unique Continuation in Geometry . Communications on Pure and Applied mathematics , XLI : 667 – 681 .
  • Lin , F.-H. 1991 . Nodal Sets of Solutions of Elliptic and Parabolic Equations . Comm. Pure and .Appl. Math. , XLIV : 287 – 308 .
  • Sampson , J. H. 1978 . Some Properties and Applications of Harmonic Mappings . Ann. Ec. Norm.Sup. , 11 : 211 – 228 .
  • Simon , L. 1984 . “ Lectures on Geometric Measure Theory ” . Vol. 3 , Australian National University .
  • Whitney , H. 1957 . Elementary Structure of Real Algebraic Varieties . Ann. of Math. , 66 : 545 – 556 .
  • Rood , J. 1977 . Singularities of Harmonic Maps and Applications of the Gauss-Bonnet Formula . Amer. J. Math. , 99 : 1329 – 1344 .
  • Yamada , S. 1996 . “ Some Convexity and Unique Continuation Properites of Harmonic Mappings ” . Thesis, Stanford Univ. .
  • S. Yamada. Weil-Petersson Convexity of the Energy Functional on the Classical and Universal Teichmiiller Spaces. Preprint.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.