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Existence and regularity of minimal surfaces on Riemannian manifolds
Author:
Jon T. Pitts
Journal:
Bull. Amer. Math. Soc. 82 (1976), 503-504
MSC (1970):
Primary 49F10, 49F20, 49F22
MathSciNet review:
0405219
Full-text PDF
References |
Similar Articles |
Additional Information
-
[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 (41 #1976)
-
H.
Blaine Lawson Jr., The global behavior of minimal surfaces in
𝑆ⁿ, Ann. of Math. (2) 92 (1970),
224–237. MR 0270279
(42 #5169)
-
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, http://dx.doi.org/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 0000467
(1,79a)
- [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:
http://dx.doi.org/10.1090/S0002-9904-1976-14075-X
PII:
S 0002-9904(1976)14075-X
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