-
1
-
-
0001033902
-
Embedded minimal surfaces with an infinite number of ends
-
Zbl 0676.53004 MR 0996552 [CHM89
-
[CHM89] M. Callahan, D. Hoffman, and W. H. Meeks, III, Embedded minimal surfaces with an infinite number of ends. Invent. Math. 96 (1989), 459-505. Zbl 0676.53004 MR 0996552
-
(1989)
Invent. Math
, vol.96
, pp. 459-505
-
-
Callahan, M.1
Hoffman, D.2
Meeks III, W.H.3
-
2
-
-
15744369838
-
The space of embedded minimal surfaces of fixed genus in a 3-manifold. I. Estimates off the axis for disks
-
Zbl 1070.53031 MR 2119717 [CM04a
-
[CM04a] T. H. Colding and W. P. Minicozzi, II, The space of embedded minimal surfaces of fixed genus in a 3-manifold. I. Estimates off the axis for disks. Ann. of Math. (2) 160 (1) (2004), 27-68. Zbl 1070.53031 MR 2119717
-
(2004)
Ann. of Math. (2)
, vol.160
, Issue.1
, pp. 27-68
-
-
Colding, T.H.1
Minicozzi II, W.P.2
-
3
-
-
15744370308
-
The space of embedded minimal surfaces of fixed genus in a 3-manifold. II. Multi-valued graphs in disks
-
Zbl 1070.53032 MR 2119718 [CM04b
-
[CM04b] T. H. Colding and W. P. Minicozzi, II, The space of embedded minimal surfaces of fixed genus in a 3-manifold. II. Multi-valued graphs in disks. Ann. of Math. (2) 160 (1) (2004), 69-92. Zbl 1070.53032 MR 2119718
-
(2004)
Ann. of Math. (2)
, vol.160
, Issue.1
, pp. 69-92
-
-
Colding, T.H.1
Minicozzi II, W.P.2
-
4
-
-
15944399783
-
The space of embedded minimal surfaces of fixed genus in a 3-manifold. III. Planar domains
-
Zbl 1076.53068 MR MR2123932 [CM04c
-
[CM04c] T. H. Colding and W. P. Minicozzi, II, The space of embedded minimal surfaces of fixed genus in a 3-manifold. III. Planar domains. Ann. of Math. (2) 160 (2) (2004), 523-572. Zbl 1076.53068 MR MR2123932
-
(2004)
Ann. of Math. (2)
, vol.160
, Issue.2
, pp. 523-572
-
-
Colding, T.H.1
Minicozzi II, W.P.2
-
5
-
-
15944384972
-
The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV. Locally simply connected
-
Zbl 1076.53069 MR 2123933 [CM04d
-
[CM04d] T. H. Colding and W. P. Minicozzi, II, The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV. Locally simply connected. Ann. of Math. (2) 160 (2) (2004), 573-615. Zbl 1076.53069 MR 2123933
-
(2004)
Ann. of Math. (2)
, vol.160
, Issue.2
, pp. 573-615
-
-
Colding, T.H.1
Minicozzi II, W.P.2
-
6
-
-
23744494249
-
Minimal surfaces with helicoidal ends
-
Zbl 02235449 MR 2180376 [FM05
-
[FM05] L. Ferrer and F. Martín, Minimal surfaces with helicoidal ends. Math. Z. 250 (4) (2005), 807-839. Zbl 02235449 MR 2180376
-
(2005)
Math. Z
, vol.250
, Issue.4
, pp. 807-839
-
-
Ferrer, L.1
Martín, F.2
-
7
-
-
84972573098
-
On the number of exceptional values of the Gauss maps of minimal surfaces
-
Zbl 0629.53011 MR 0930599 [Fuj88
-
[Fuj88] H. Fujimoto, On the number of exceptional values of the Gauss maps of minimal surfaces. J. Math. Soc. Japan 40 (2) (1988), 235-247. Zbl 0629.53011 MR 0930599
-
(1988)
J. Math. Soc. Japan
, vol.40
, Issue.2
, pp. 235-247
-
-
Fujimoto, H.1
-
8
-
-
23044526565
-
Embedded minimal ends of finite type
-
Zbl 0986.53005 MR 1806738 [HPR01
-
[HPR01] L. Hauswirth, J. Pérez, and P. Romon, Embedded minimal ends of finite type. Trans. Amer. Math. Soc. 353 (4) (2001), 1335-1370. Zbl 0986.53005 MR 1806738
-
(2001)
Trans. Amer. Math. Soc
, vol.353
, Issue.4
, pp. 1335-1370
-
-
Hauswirth, L.1
Pérez, J.2
Romon, P.3
-
9
-
-
55349119022
-
-
[HK97] D. Hoffman and H. Karcher, Complete embedded minimal surfaces of finite total curvature. In Geometry, V, Encyclopaedia Math. Sci. 90, Springer-Verlag, Berlin 1997, 5-93, 267-272. Zbl 0890.53001 MR 1490038
-
[HK97] D. Hoffman and H. Karcher, Complete embedded minimal surfaces of finite total curvature. In Geometry, V, Encyclopaedia Math. Sci. 90, Springer-Verlag, Berlin 1997, 5-93, 267-272. Zbl 0890.53001 MR 1490038
-
-
-
-
10
-
-
55349119725
-
-
[HKW93] D. Hoffman, H. Karcher, and F. Wei, The genus one helicoid and the minimal surfaces that led to its discovery. In Global Analysis and Modern Mathematics (ed. by K. Uhlenbeck), Publish or Perish Press, 1993.119-170. Zbl 1049.53502 MR 1278754
-
[HKW93] D. Hoffman, H. Karcher, and F. Wei, The genus one helicoid and the minimal surfaces that led to its discovery. In Global Analysis and Modern Mathematics (ed. by K. Uhlenbeck), Publish or Perish Press, 1993.119-170. Zbl 1049.53502 MR 1278754
-
-
-
-
11
-
-
0011996797
-
The singly periodic genus-one helicoid
-
Zbl 0958.53006 MR 1691949 [HKW99
-
[HKW99] D. Hoffman, H. Karcher, and F. Wei, The singly periodic genus-one helicoid. Comment. Math. Helv. 74 (1999), 248-279. Zbl 0958.53006 MR 1691949
-
(1999)
Comment. Math. Helv
, vol.74
, pp. 248-279
-
-
Hoffman, D.1
Karcher, H.2
Wei, F.3
-
12
-
-
4043109798
-
Embedded minimal annular ends asymptotic to the helicoid
-
Zbl 1079.53016 MR 2015173 [HM03
-
[HM03] D. Hoffman and J. McCuan, Embedded minimal annular ends asymptotic to the helicoid. Comm. Anal. Geom. 11 (4) (2003), 721-735. Zbl 1079.53016 MR 2015173
-
(2003)
Comm. Anal. Geom
, vol.11
, Issue.4
, pp. 721-735
-
-
Hoffman, D.1
McCuan, J.2
-
13
-
-
84972546952
-
A variational approach to the existence of complete embedded minimal surfaces
-
Zbl 0676.53006 MR 0975126 [HM88
-
[HM88] D. Hoffman and W. H. Meeks, III, A variational approach to the existence of complete embedded minimal surfaces. Duke Math. J. 57 (3) (1988), 877-893. Zbl 0676.53006 MR 0975126
-
(1988)
Duke Math. J
, vol.57
, Issue.3
, pp. 877-893
-
-
Hoffman, D.1
Meeks III, W.H.2
-
14
-
-
0000936684
-
The strong halfspace theorem for minimal surfaces
-
Zbl 0722.53054 MR 1062966 [HM90
-
[HM90] D. Hoffman and W. H. Meeks, III, The strong halfspace theorem for minimal surfaces. Invent. Math. 101 (2) (1990), 373-377. Zbl 0722.53054 MR 1062966
-
(1990)
Invent. Math
, vol.101
, Issue.2
, pp. 373-377
-
-
Hoffman, D.1
Meeks III, W.H.2
-
15
-
-
0036452902
-
Deforming the periodic genus-one helicoid
-
Zbl 1116.53301 MR 1959264 [HW02
-
[HW02] D. Hoffman and F. Wei, Deforming the periodic genus-one helicoid. Experiment. Math. 11 (2) (2002), 207-218. Zbl 1116.53301 MR 1959264
-
(2002)
Experiment. Math
, vol.11
, Issue.2
, pp. 207-218
-
-
Hoffman, D.1
Wei, F.2
-
16
-
-
85046914528
-
The geometry of genus-one helicoids
-
To appear in
-
[HW] D. Hoffman and B. White, The geometry of genus-one helicoids. To appear in Comment. Math. Helv.
-
Comment. Math. Helv
-
-
Hoffman, D.1
White, B.2
-
17
-
-
51649203357
-
On subharmonic functions and differential geometry in the large
-
Zbl 0080.15001 MR 0094452 [Hub57
-
[Hub57] A. Huber, On subharmonic functions and differential geometry in the large. Comment. Math. Helv. 32 (1957), 13-72. Zbl 0080.15001 MR 0094452
-
(1957)
Comment. Math. Helv
, vol.32
, pp. 13-72
-
-
Huber, A.1
-
18
-
-
51249168100
-
The geometry of periodic minimal surfaces
-
Zbl 0807.53049 MR 1241472 [MR93
-
[MR93] W. H. Meeks, III and H. Rosenberg, The geometry of periodic minimal surfaces. Comment. Math. Helv. 68 (4) (1993), 538-578. Zbl 0807.53049 MR 1241472
-
(1993)
Comment. Math. Helv
, vol.68
, Issue.4
, pp. 538-578
-
-
Meeks III, W.H.1
Rosenberg, H.2
-
19
-
-
23844549040
-
The uniqueness of the helicoid
-
Zbl 02201328 MR 2153399 [MR05
-
[MR05] W. H. Meeks, III and H. Rosenberg, The uniqueness of the helicoid. Ann. of Math. 161 (2005), 727-758. Zbl 02201328 MR 2153399
-
(2005)
Ann. of Math
, vol.161
, pp. 727-758
-
-
Meeks III, W.H.1
Rosenberg, H.2
-
20
-
-
0001304541
-
The classical Plateau problem and the topology of three-dimensional manifolds
-
Zbl 0489.57002 MR 0670745 [MY82a
-
[MY82a] W. H. Meeks, III and S. T. Yau, The classical Plateau problem and the topology of three-dimensional manifolds. Topology 21 (4) (1982), 409-442. Zbl 0489.57002 MR 0670745
-
(1982)
Topology
, vol.21
, Issue.4
, pp. 409-442
-
-
Meeks III, W.H.1
Yau, S.T.2
-
21
-
-
0000170677
-
The existence of embedded minimal surfaces and the problem of uniqueness
-
Zbl 0479.49026 MR 0645492 [MY82b
-
[MY82b] W. H. Meeks, III and S. T. Yau, The existence of embedded minimal surfaces and the problem of uniqueness. Math. Z. 179 (1982), 151-168. Zbl 0479.49026 MR 0645492
-
(1982)
Math. Z
, vol.179
, pp. 151-168
-
-
Meeks III, W.H.1
Yau, S.T.2
-
22
-
-
84972514098
-
On the Gauss map and total curvature of complete minimal surfaces and an extension of Fujimoto's theorem
-
Zbl 0666.53003 MR 1037404 [MO90
-
[MO90] X. Mo and R. Osserman, On the Gauss map and total curvature of complete minimal surfaces and an extension of Fujimoto's theorem. J. Differential Geom. 31 (2)(1990), 343-355. Zbl 0666.53003 MR 1037404
-
(1990)
J. Differential Geom
, vol.31
, Issue.2
, pp. 343-355
-
-
Mo, X.1
Osserman, R.2
-
23
-
-
55349130186
-
-
[Nit89] J. C. C. Nitsche, Lectures on Minimal Surfaces. 1. Cambridge University Press, Cambridge 1989. Zbl 0688.53001 MR 1015936
-
[Nit89] J. C. C. Nitsche, Lectures on Minimal Surfaces. Volume 1. Cambridge University Press, Cambridge 1989. Zbl 0688.53001 MR 1015936
-
-
-
-
24
-
-
0013151147
-
On complete minimal surfaces
-
Zbl 0127.38003 MR 0151907 [Oss63
-
[Oss63] R. Osserman, On complete minimal surfaces. Arch. Rational Mech. Anal. 13 (1963), 392-404. Zbl 0127.38003 MR 0151907
-
(1963)
Arch. Rational Mech. Anal
, vol.13
, pp. 392-404
-
-
Osserman, R.1
-
25
-
-
0004192161
-
-
Oss86, 2nd edition, Dover Publications, New York, MR 0852409
-
[Oss86] R. Osserman, A Survey of Minimal Surfaces. 2nd edition, Dover Publications, New York 1986. MR 0852409
-
(1986)
A Survey of Minimal Surfaces
-
-
Osserman, R.1
-
26
-
-
55349134014
-
-
[Rad71] T. Radó, On the problem of Plateau. Subharmonic functions. Reprint, Springer-Verlag, New York 1971. Zbl 0211.13803 MR 0344979
-
[Rad71] T. Radó, On the problem of Plateau. Subharmonic functions. Reprint, Springer-Verlag, New York 1971. Zbl 0211.13803 MR 0344979
-
-
-
-
27
-
-
0032081083
-
3 with one end and bounded curvature
-
Zbl 0968.53009 MR 1624411 [RR98
-
3 with one end and bounded curvature. Manuscripta Math. 96 (1) (1998), 3-7. Zbl 0968.53009 MR 1624411
-
(1998)
Manuscripta Math
, vol.96
, Issue.1
, pp. 3-7
-
-
Rodríguez, L.1
Rosenberg, H.2
-
29
-
-
84966199465
-
A note on branch points of minimal surfaces
-
Zbl 0152.38804 MR 0202068 [Sch66
-
[Sch66] R. Schneider, A note on branch points of minimal surfaces. Proc. Amer. Math. Soc. 17 (1966), 1254-7. Zbl 0152.38804 MR 0202068
-
(1966)
Proc. Amer. Math. Soc
, vol.17
, pp. 1254-1257
-
-
Schneider, R.1
-
30
-
-
0001042829
-
Extreme curves bound an embedded minimal surface of disk type
-
Zbl 0353.53032 MR 0486522 [TT78
-
[TT78] F. Tomi and A. J. Tromba, Extreme curves bound an embedded minimal surface of disk type. Math. Z. 158 (1978), 137-145. Zbl 0353.53032 MR 0486522
-
(1978)
Math. Z
, vol.158
, pp. 137-145
-
-
Tomi, F.1
Tromba, A.J.2
-
32
-
-
0009914838
-
The space of m-dimensional surfaces that are stationary for a parametric elliptic functional
-
Zbl 0770.58005 MR 0905611 [Whi87a
-
[Whi87a] B. White, The space of m-dimensional surfaces that are stationary for a parametric elliptic functional. Indiana Univ. Math. J. 36 (3) (1987), 567-602. Zbl 0770.58005 MR 0905611
-
(1987)
Indiana Univ. Math. J
, vol.36
, Issue.3
, pp. 567-602
-
-
White, B.1
-
33
-
-
0001223567
-
Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals
-
Zbl 0615.53044 MR 0880951 [Whi87b
-
[Whi87b] B. White, Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals. Invent. Math. 88 (2) (1987), 243-256. Zbl 0615.53044 MR 0880951
-
(1987)
Invent. Math
, vol.88
, Issue.2
, pp. 243-256
-
-
White, B.1
-
34
-
-
84972497579
-
New applications of mapping degrees to minimal surface theory
-
Zbl 0638.58005 MR 0978083 [Whi89
-
[Whi89] B. White, New applications of mapping degrees to minimal surface theory. J. Differential Geom. 29 (1989), 143-162. Zbl 0638.58005 MR 0978083
-
(1989)
J. Differential Geom
, vol.29
, pp. 143-162
-
-
White, B.1
-
35
-
-
0005611288
-
The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere
-
Zbl 0477.53007 MR 0657243 [Xav81
-
[Xav81] F. Xavier, The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere. Ann. of Math. 113 (1981), 211-214. Zbl 0477.53007 MR 0657243
-
(1981)
Ann. of Math
, vol.113
, pp. 211-214
-
-
Xavier, F.1
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