Volume 12, issue 5 (2008)

 1 L Ahlfors, L Bers, Riemann's mapping theorem for variable metrics, Ann. of Math. $(2)$ 72 (1960) 385 MR0115006 2 F J Almgren, The theory of varifolds, Mimeographed notes, Princeton (1965) 3 G D Birkhoff, Dynamical systems with two degrees of freedom, Trans. Amer. Math. Soc. 18 (1917) 199 MR1501070 4 G D Birkhoff, Dynamical systems, American Math. Soc. Coll. Publ. IX, American Mathematical Society (1927) MR0209095 5 T H Colding, C De Lellis, The min-max construction of minimal surfaces, from: "Surveys in differential geometry, Vol. VIII (Boston, MA, 2002)", Int. Press (2003) 75 MR2039986 6 T H Colding, C De Lellis, W P Minicozzi II, Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications, Comm. Pure Appl. Math. 61 (2008) 1540 7 T H Colding, W P Minicozzi II, Minimal surfaces, Courant Lecture Notes in Math. 4, New York University Courant Inst. of Math. Sciences (1999) MR1683966 8 T H Colding, W P Minicozzi II, Estimates for the extinction time for the Ricci flow on certain $3$–manifolds and a question of Perelman, J. Amer. Math. Soc. 18 (2005) 561 MR2138137 9 T H Colding, W P Minicozzi II, Width and mean curvature flow, Geom. Topol. 12 (2008) 2517 10 C B Croke, Area and the length of the shortest closed geodesic, J. Differential Geom. 27 (1988) 1 MR918453 11 L C Evans, Partial differential equations, Graduate Studies in Math. 19, Amer. Math. Soc. (1998) MR1625845 12 M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718 13 R S Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 17 (1982) 255 MR664497 14 R S Hamilton, The formation of singularities in the Ricci flow, from: "Surveys in differential geometry, Vol. II (Cambridge, MA, 1993)", Int. Press (1995) 7 MR1375255 15 F Hélein, Régularité des applications faiblement harmoniques entre une surface et une variété riemannienne, C. R. Acad. Sci. Paris Sér. I Math. 312 (1991) 591 MR1101039 16 F Hélein, Harmonic maps, conservation laws and moving frames, Cambridge Tracts in Math. 150, Cambridge University Press (2002) MR1913803 17 J Jost, Two-dimensional geometric variational problems, Pure and Applied Math. (New York), Wiley-Interscience Publ. John Wiley & Sons Ltd. (1991) MR1100926 18 B Kleiner, J Lott, Notes on Perelman's papers, Geom. Topol. 12 (2008) 2587 19 C B Morrey Jr., On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43 (1938) 126 MR1501936 20 C B Morrey Jr., Multiple integrals in the calculus of variations, Die Grund. der math. Wissenschaften 130, Springer (1966) MR0202511 21 J R Munkres, Topology: a first course, Prentice-Hall (1975) MR0464128 22 T H Parker, Bubble tree convergence for harmonic maps, J. Differential Geom. 44 (1996) 595 MR1431008 23 T H Parker, J G Wolfson, Pseudo-holomorphic maps and bubble trees, J. Geom. Anal. 3 (1993) 63 MR1197017 24 G Perelman, Ricci flow with surgery on three-manifolds arXiv:math.DG/0303109 25 G Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds arXiv:math.DG/0307245 26 J T Pitts, Existence and regularity of minimal surfaces on Riemannian manifolds, Math. Notes 27, Princeton University Press (1981) MR626027 27 J Qing, Boundary regularity of weakly harmonic maps from surfaces, J. Funct. Anal. 114 (1993) 458 MR1223710 28 T Rivière, Conservation laws for conformally invariant variational problems, Invent. Math. 168 (2007) 1 MR2285745 29 H L Royden, Real analysis, The Macmillan Co. (1963) MR0151555 30 J Sacks, K Uhlenbeck, The existence of minimal immersions of $2$–spheres, Ann. of Math. $(2)$ 113 (1981) 1 MR604040 31 J H Sampson, Some properties and applications of harmonic mappings, Ann. Sci. École Norm. Sup. $(4)$ 11 (1978) 211 MR510549 32 R Schoen, K Uhlenbeck, A regularity theory for harmonic maps, J. Differential Geom. 17 (1982) 307 MR664498 33 R Schoen, K Uhlenbeck, Boundary regularity and the Dirichlet problem for harmonic maps, J. Differential Geom. 18 (1983) 253 MR710054 34 R Schoen, J Wolfson, Minimizing area among Lagrangian surfaces: the mapping problem, J. Differential Geom. 58 (2001) 1 MR1895348 35 R Schoen, S T Yau, Lectures on harmonic maps, Conference Proceedings and Lecture Notes in Geometry and Topology, II, International Press (1997) MR1474501 36 H A Schwarz, Über einen Grenzübergang durch altirneirendes Verfahren, Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich 15 (1870) 272 37 H A Schwarz, Gesammelete Mathematische Abhandlungen, Springer (1890) 38 M Struwe, On the evolution of harmonic mappings of Riemannian surfaces, Comment. Math. Helv. 60 (1985) 558 MR826871 39 H C Wente, An existence theorem for surfaces of constant mean curvature, J. Math. Anal. Appl. 26 (1969) 318 MR0243467