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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

On minimal immersions of $S^2$ in $S^{2m}$


Author: Joao Lucas Marques Barbosa
Journal: Bull. Amer. Math. Soc. 79 (1973), 110-114
MSC (1970): Primary 53B25, 32C25, 58D10; Secondary 14H45, 14H99, 14M15, 53C40
MathSciNet review: 0310774
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References [Enhancements On Off] (What's this?)

  • 1. Eugenio Calabi, Isometric imbedding of complex manifolds, Ann. of Math. (2) 58 (1953), 1–23. MR 0057000 (15,160c)
  • 2. Eugenio Calabi, Minimal immersions of surfaces in Euclidean spheres, J. Differential Geometry 1 (1967), 111–125. MR 0233294 (38 #1616)
  • 3. E. Calabi, Quelques applications de l'analyse complexe aux surfaces d'aire minima, Topics in Complex Manifolds, University of Montreal, Canada, 1968, pp. 59-81.
  • 4. Shiing Shen Chern, On the minimal immersions of the two-sphere in a space of constant curvature, Problems in analysis (Lectures at the Sympos. in honor of Salomon Bochner, Princeton Univ., Princeton, N.J., 1969) Princeton Univ. Press, Princeton, N.J., 1970, pp. 27–40. MR 0362151 (50 #14593)
  • 5. Shiing-shen Chern, On minimal spheres in the four-sphere, Studies and Essays (Presented to Yu-why Chen on his 60th Birthday, April 1, 1970) Math. Res. Center, Nat. Taiwan Univ., Taipei, 1970, pp. 137–150. MR 0278205 (43 #3936)
  • 6. Hung-hsi Wu, The equidistribution theory of holomorphic curves, Annals of Mathematics Studies, No. 64, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1970. MR 0273070 (42 #7951)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13116-7
PII: S 0002-9904(1973)13116-7