Embedded constant mean curvature tori in the three-sphere

Ben Andrews, Haizhong Li

Type: Preprint

Publication Date: 2012-01-01

Citations: 12

DOI: https://doi.org/10.48550/arxiv.1204.5007

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arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
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Works That Cite This (12)

Action	Title	Year	Authors
+	Conservation laws for surfaces of constant mean curvature in 3-dimensional space forms	2013	Daniel J. F. Fox Joe S. Wang
+	Two-sided non-collapsing curvature flows	2013	Ben Andrews Mat Langford
+ PDF Chat	Alexandrov immersed minimal tori in $S^3$	2013	Simon Brendle
+	Rotational Surfaces in S^3 with constant mean curvature	2012	Óscar Perdomo
+	Alexandrov immersed minimal tori in S^3	2012	Simon Brendle
+ PDF Chat	Constrained Willmore tori and elastic curves in 2-dimensional space forms	2014	Lynn Heller
+ PDF Chat	Two-point functions and their applications in geometry	2014	Simon Brendle
+	Constrained Willmore Tori and Elastic Curves in 2-Dimensional Space Forms	2013	Lynn Heller
+	A Brief Historical Introduction and Motivations	2013	Rafael López
+	A new characterization of the Clifford torus via scalar curvature pinching	2013	Hongwei Xu Zhiyuan Xu

Works Cited by This (6)

Action	Title	Year	Authors
+	Constant mean curvature tori in terms of elliptic functions.	1987	Uwe Abresch
+	On surfaces of constant mean curvature in a three-dimensional space of constant curvature	1983	Shiing-Shen Chern
+	Non-collapsing in mean-convex mean curvature flow	2011	Ben Andrews
+	Non-collapsing in fully nonlinear curvature flows	2011	Ben Andrews Mat Langford James McCoy
+	Embedded minimal tori in S^3 and the Lawson conjecture	2012	Simon Brendle
+	EMBEDDED HYPERSURFACES WITH CONSTANT mTH MEAN CURVATURE IN A UNIT SPHERE	2010	Guoxin Wei Qing-Ming Cheng Haizhong Li