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[1] Shuntaro Ohno, Tetsuya Ozawa and Masaaki Umehara.
Closed planar curves without inflections.
Proc. Amer. Math. Soc.
141
(2013)
651-665.
Abstract, references, and article information
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[2] Van Cyr.
A number theoretic question arising in the geometry of plane curves and in billiard dynamics.
Proc. Amer. Math. Soc.
140
(2012)
3035-3040.
Abstract, references, and article information
View Article: PDF
[3] Roberta Musina.
Planar loops with prescribed curvature: Existence, multiplicity and uniqueness results.
Proc. Amer. Math. Soc.
139
(2011)
4445-4459.
Abstract, references, and article information
View Article: PDF
[4] Mohammad Ghomi.
A Riemannian four vertex theorem for surfaces with boundary.
Proc. Amer. Math. Soc.
139
(2011)
293-303.
MR 2729091.
Abstract, references, and article information
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[5] Martin Chuaqui.
Integral conditions on the Schwarzian for curves to be simple or unknotted.
Proc. Amer. Math. Soc.
138
(2010)
1811-1819.
MR 2587466.
Abstract, references, and article information
View Article: PDF
[6] Elizabeth Denne and John M. Sullivan.
The distortion of a knotted curve.
Proc. Amer. Math. Soc.
137
(2009)
1139-1148.
MR 2457456.
Abstract, references, and article information
View Article: PDF
[7] Helmut Linde.
A lower bound for the ground state energy of a Schrödinger operator on a loop.
Proc. Amer. Math. Soc.
134
(2006)
3629-3635.
MR 2240676.
Abstract, references, and article information
View Article: PDF
[8] Mohammad Ghomi.
Nonexistence of skew loops on ellipsoids.
Proc. Amer. Math. Soc.
133
(2005)
3687-3690.
MR 2163608.
Abstract, references, and article information
View Article: PDF
[9] Björn E. J. Dahlberg.
The converse of the four vertex theorem.
Proc. Amer. Math. Soc.
133
(2005)
2131-2135.
MR 2137880.
Abstract, references, and article information
View Article: PDF
[10] L. Hernández Encinas and J. Muñoz Masqué.
Total curvatures of a closed curve in Euclidean $n$-space.
Proc. Amer. Math. Soc.
132
(2004)
2127-2132.
MR 2053986.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[11] Martin Chuaqui and Julian Gevirtz.
Simple curves in $\mathbb{R}^n$ and Ahlfors' Schwarzian derivative.
Proc. Amer. Math. Soc.
132
(2004)
223-230.
MR 2021266.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[12] Rongpei Huang and David A. Singer.
A new flow on starlike curves in $\mathbb{R}^3$.
Proc. Amer. Math. Soc.
130
(2002)
2725-2735.
MR 1900890.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[13] Craig Benham, Xiao-Song Lin and David Miller.
Subspaces of knot spaces.
Proc. Amer. Math. Soc.
129
(2001)
3121-3127.
MR 1840119.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[14] Thomas A. Ivey.
Minimal curves of constant torsion.
Proc. Amer. Math. Soc.
128
(2000)
2095-2103.
MR 1694865.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[15] Ralph Howard.
The sharp Sobolev inequality and the Banchoff-Pohl inequality on surfaces.
Proc. Amer. Math. Soc.
126
(1998)
2779-2787.
MR 1451806.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[16] Michal Kwiecinski and Laurent Noirel.
A Whitney-stratified curve in $\mathbb{R}^3$ with multiple-point
projections.
Proc. Amer. Math. Soc.
124
(1996)
1277-1279.
MR 1343707.
Abstract, references, and article information
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This article is available free of charge
[17] Dusan Repovs, Arkadij B. Skopenkov and Evgenij V. Scepin.
$C^1$-homogeneous compacta in $\mathbb{R}^n$ are $C^1$-submanifolds
of $\mathbb{R}^n$ .
Proc. Amer. Math. Soc.
124
(1996)
1219-1226.
MR 1301046.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[18] Joel L. Weiner.
Isoperimetric inequalities for immersed closed
spherical curves
.
Proc. Amer. Math. Soc.
120
(1994)
501-506.
MR 1163337.
Abstract, references, and article information
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[19] Kazuyuki Enomoto.
A generalization of the isoperimetric inequality on
$S\sp 2$ and flat tori in $S\sp 3$
.
Proc. Amer. Math. Soc.
120
(1994)
553-558.
MR 1163333.
Abstract, references, and article information
View Article: PDF
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[20] Sueli I. Rodrigues Costa.
On closed twisted curves
.
Proc. Amer. Math. Soc.
109
(1990)
205-214.
MR 993746.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[21] Tetsuya Ozawa.
On Halpern's conjecture for closed plane curves
.
Proc. Amer. Math. Soc.
92
(1984)
554-560.
MR 760945.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[22] Robert Gulliver and Frank Morgan.
The symmetry group of a curve preserves a plane
.
Proc. Amer. Math. Soc.
84
(1982)
408-411.
MR 640242.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[23] Cheng Chung Hwang.
A differential-geometric criterion for a space
curve to be closed
.
Proc. Amer. Math. Soc.
83
(1981)
357-361.
MR 624931.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[24] Benjamin Halpern.
An inequality for double tangents
.
Proc. Amer. Math. Soc.
76
(1979)
133-139.
MR 534404.
Abstract, references, and article information
View Article: PDF
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