The existence of minimal immersions of two-spheres

Sacks, J.; Uhlenbeck, K.

doi:10.1090/S0002-9904-1977-14366-8

The existence of minimal immersions of two-spheres
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by J. Sacks and K. Uhlenbeck PDF

Bull. Amer. Math. Soc. 83 (1977), 1033-1036

References

Shiing Shen Chern and Samuel I. Goldberg, On the volume decreasing property of a class of real harmonic mappings, Amer. J. Math. 97 (1975), 133–147. MR 367860, DOI 10.2307/2373664
James Eells Jr., A setting for global analysis, Bull. Amer. Math. Soc. 72 (1966), 751–807. MR 203742, DOI 10.1090/S0002-9904-1966-11558-6
James Eells Jr. and Joseph H. Sampson, Variational theory in fibre bundles, Proc. U.S.-Japan Seminar in Differential Geometry (Kyoto, 1965) Nippon Hyoronsha, Tokyo, 1966, pp. 22–33. MR 0216519
James Eells Jr. and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109–160. MR 164306, DOI 10.2307/2373037
Philip Hartman and Aurel Wintner, On the local behavior of solutions of non-parabolic partial differential equations, Amer. J. Math. 75 (1953), 449–476. MR 58082, DOI 10.2307/2372496
Charles B. Morrey Jr., Multiple integrals in the calculus of variations, Die Grundlehren der mathematischen Wissenschaften, Band 130, Springer-Verlag New York, Inc., New York, 1966. MR 0202511, DOI 10.1007/978-3-540-69952-1
Charles B. Morrey Jr., The problem of Plateau on a Riemannian manifold, Ann. of Math. (2) 49 (1948), 807–851. MR 27137, DOI 10.2307/1969401
Richard S. Palais, Homotopy theory of infinite dimensional manifolds, Topology 5 (1966), 1–16. MR 189028, DOI 10.1016/0040-9383(66)90002-4
Richard S. Palais, Lusternik-Schnirelman theory on Banach manifolds, Topology 5 (1966), 115–132. MR 259955, DOI 10.1016/0040-9383(66)90013-9
Richard S. Palais, Foundations of global non-linear analysis, W. A. Benjamin, Inc., New York-Amsterdam, 1968. MR 0248880
K. Uhlenbeck, Morse theory by perturbation methods with applications to harmonic maps, Trans. Amer. Math. Soc. 267 (1981), no. 2, 569–583. MR 626490, DOI 10.1090/S0002-9947-1981-0626490-X