Existence and regularity of minimal surfaces on Riemannian manifolds
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- by Jon T. Pitts PDF
- Bull. Amer. Math. Soc. 82 (1976), 503-504
References
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[AF] F. J. Almgren, Jr., The theory of varifolds. Mimeographed notes, Princeton (1965)
- Herbert Federer, Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag New York, Inc., New York, 1969. MR 0257325
- H. Blaine Lawson Jr., The global behavior of minimal surfaces in $S^{n}$, Ann. of Math. (2) 92 (1970), 224–237. MR 270279, DOI 10.2307/1970835
- Marston Morse and C. Tompkins, The existence of minimal surfaces of general critical types, Ann. of Math. (2) 40 (1939), no. 2, 443–472. MR 1503471, DOI 10.2307/1968932 [PJ1] J. Pitts, Existence of minimal surfaces on riemannian manifolds I: Almost minimizing varifolds (preprint). [PJ2] J. Pitts, Existence of minimal surfaces on riemannian manifolds II: Regular surfaces in three dimensional manifolds (preprint).
- Max Shiffman, The Plateau problem for non-relative minima, Ann. of Math. (2) 40 (1939), 834–854. MR 467, DOI 10.2307/1968897
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 503-504
- MSC (1970): Primary 49F10, 49F20, 49F22
- DOI: https://doi.org/10.1090/S0002-9904-1976-14075-X
- MathSciNet review: 0405219