Geometry & Topology Volume 12, issue 5 (2008)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP Journals

Width and mean curvature flow

Tobias H Colding and William P Minicozzi II

Geometry & Topology 12 (2008) 2517–2535

DOI: 10.2140/gt.2008.12.2517

Bibliography

1	F J Almgren, The theory of varifolds, Mimeographed notes, Princeton (1965)
2	G D Birkhoff, Dynamical systems with two degrees of freedom, Trans. Amer. Math. Soc. 18 (1917) 199 MR1501070
3	G D Birkhoff, Dynamical systems, American Math. Soc. Coll. Publ. IX, American Mathematical Society (1927) MR0209095
4	K Borsuk, Sur la courbure totale des courbes fermées, Ann. Soc. Polon. Math. 20 (1948) 251 MR0025757
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, W P Minicozzi II, Minimal surfaces, Courant Lecture Notes in Math. 4, New York University Courant Inst.of Math. Sciences (1999) MR1683966
7	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
8	T H Colding, W P Minicozzi II, Width and finite extinction time of Ricci flow, Geom. Topol. 12 (2008) 2537
9	C B Croke, Area and the length of the shortest closed geodesic, J. Differential Geom. 27 (1988) 1 MR918453
10	W Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math. Ann. 101 (1929) 238 MR1512528
11	G Huisken, Flow by mean curvature of convex surfaces into spheres, J. Differential Geom. 20 (1984) 237 MR772132
12	J Jost, Two-dimensional geometric variational problems, Pure and Applied Math. (New York), Wiley-Interscience Publ. John Wiley & Sons Ltd. (1991) MR1100926
13	G Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds arXiv:math.DG/0307245
14	J T Pitts, Existence and regularity of minimal surfaces on Riemannian manifolds, Math. Notes 27, Princeton University Press (1981) MR626027
15	F Schulze, Evolution of convex hypersurfaces by powers of the mean curvature, Math. Z. 251 (2005) 721 MR2190140
16	L Simon, Lectures on geometric measure theory, Proc. of the Centre for Math. Analysis 3, Australian Nat. Univ. Centre for Math. Analysis (1983) MR756417
17	L Simon, Existence of surfaces minimizing the Willmore functional, Comm. Anal. Geom. 1 (1993) 281 MR1243525