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Existence and regularity of minimal surfaces on Riemannian manifolds
Author(s):
Jon T.
Pitts
Journal:
Bull. Amer. Math. Soc.
82
(1976),
503-504.
MSC (1970):
Primary 49F10, 49F20, 49F22
MathSciNet review:
0405219
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References |
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Additional information
References:
- [AF] F. J. Almgren, Jr., The theory of varifolds. Mimeographed notes, Princeton (1965)
- [FH] H. Federer, Geometric measure theory, Die Grundlehren der math. Wissenschaften, Band 153, Springer-Verlag, New York, 1969. MR 41 #1976. MR 257325
- [LHB] H. B. Lawson, Jr., The global behavior of minimal surfaces in S, Ann. of Math. (2) 92 (1970), 224-237. MR 42 #5169. MR 270279
- [MT] M. Morse and C. Tompkins, The existence of minimal surfaces of general critical types, Ann. of Math. (2) 40 (1939), 443-472. MR 1503471
- [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).
- [SM] M. Shiffman, The plateau problem for non-relative minima, Ann. of Math. (2) 40 (1939), 834-854. MR 1, 79. MR 467
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14075-X
PII:
S 0002-9904(1976)14075-X
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