Geometry & Topology Monographs 7
(2004) 69–100
|
1 |
M T Anderson,
Curvature
estimates for minimal surfaces in 3–manifolds,
Ann. Sci. École Norm. Sup. (4) 18 (1985) 89–105
MR803196 |
2 |
M F Atiyah,
I M Singer, The index of elliptic
operators IV, Ann. of Math. (2) 93 (1971) 119–138
MR0279833 |
3 |
T H Colding, C
De Lellis, The min-max construction of minimal
surfaces, from: "Surveys in differential geometry, Vol.
VIII (Boston, MA, 2002)", Surv. Differ. Geom., VIII, Int.
Press, Somerville, MA (2003) 75–107 MR2039986 |
4 |
T H Colding,
W P Minicozzi II, Minimal surfaces, Courant
Lecture Notes in Mathematics 4, New York University Courant
Institute of Mathematical Sciences (1999) MR1683966 |
5 |
T Colding, W
Minicozzi, The space of embedded minimal surfaces of a
fixed genus in a 3–manifold I arXiv:math.AP/0210141 |
6 |
T Colding, W
Minicozzi, The space of embedded minimal surfaces of a
fixed genus in a 3–manifold II arXiv:math.AP/0210086 |
7 |
T Colding, W
Minicozzi, The space of embedded minimal surfaces of a
fixed genus in a 3–manifold III arXiv:math.AP/0210141 |
8 |
T Colding, W
Minicozzi, The space of embedded minimal surfaces of a
fixed genus in a 3–manifold IV arXiv:math.AP/0210119 |
9 |
C L Epstein,
The
hyperbolic Gauss map and quasiconformal reflections, J.
Reine Angew. Math. 372 (1986) 96–135 MR863521 |
10 |
C L Epstein,
Univalence
criteria and surfaces in hyperbolic space, J. Reine
Angew. Math. 380 (1987) 196–214 MR916206 |
11 |
M Freedman, J
Hass, P Scott, Least area
incompressible surfaces in 3–manifolds, Invent.
Math. 71 (1983) 609–642 MR695910 |
12 |
J Hass, P
Scott, The
existence of least area surfaces in 3–manifolds,
Trans. Amer. Math. Soc. 310 (1988) 87–114 MR965747 |
13 |
J Pitts, J H
Rubinstein, Minimal surfaces and finiteness of Heegard
splittings of 3–manifolds, in preparation |
14 |
J T Pitts,
J H Rubinstein, Applications of minimax to
minimal surfaces and the topology of 3–manifolds,
from: "Miniconference on geometry and partial differential
equations, 2 (Canberra, 1986)", Proc. Centre Math. Anal.
Austral. Nat. Univ. 12, Austral. Nat. Univ. (1987)
137–170 MR924434 |
15 |
J H Rubinstein,
Minimal surfaces in geometric 3–manifolds, from:
"Global theory of minimal surfaces", Clay Math. Proc. 2, Amer.
Math. Soc. (2005) 725–746 MR2167286 |
16 |
R Schoen, Estimates
for stable minimal surfaces in three-dimensional manifolds,
from: "Seminar on minimal submanifolds", Ann. of Math. Stud.
103, Princeton Univ. Press (1983) 111–126 MR795231 |
17 |
R Schoen, S T
Yau, Existence of incompressible
minimal surfaces and the topology of three-dimensional
manifolds with nonnegative scalar curvature, Ann. of
Math. (2) 110 (1979) 127–142 MR541332 |
18 |
P Scott, The geometries of
3–manifolds, Bull. London Math. Soc. 15 (1983)
401–487 MR705527 |
19 |
B White, Curvature estimates and
compactness theorems in 3–manifolds for surfaces that are
stationary for parametric elliptic functionals, Invent.
Math. 88 (1987) 243–256 MR880951 |
20 |
B White, The space of
minimal submanifolds for varying Riemannian metrics,
Indiana Univ. Math. J. 40 (1991) 161–200 MR1101226 |