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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 32
  3. Acta Mathematica Sinica, English Series : Volume 32, Issue 9, September 2016
  4. A characterization of the Ejiri torus in S 5
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 32, Issue 9, September 2016
Discrete weighted Hardy inequalities with different kinds of boundary conditions
A characterization of the Ejiri torus in S 5
A stochastic variational approach to viscous Burgers equations
Endpoint estimates of generalized homogeneous Littlewood–Paley g-functions over non-homogeneous metric measure spaces
The James constant for the l 3 − l 1 space
Homotopy exponents of Stiefel manifolds in the stable range
Genus expanded cut-and-join operators and generalized Hurwtiz numbers
Commuting dual Toeplitz operators on the harmonic Dirichlet space
The general facility location problem with connectivity on trees
Equivalent characterization of centralizers on B(H)
Acta Mathematica Sinica, English Series : Volume 32, Issue 7, July 2016
Acta Mathematica Sinica, English Series : Volume 32, Issue 6, June 2016
Acta Mathematica Sinica, English Series : Volume 32, Issue 5, May 2016
Acta Mathematica Sinica, English Series : Volume 32, Issue 4, April 2016
Acta Mathematica Sinica, English Series : Volume 32, Issue 3, March 2016
Acta Mathematica Sinica, English Series : Volume 32, Issue 2, February 2016
Acta Mathematica Sinica, English Series : Volume 32, Issue 1, January 2016
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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A characterization of the Ejiri torus in S 5

Content Provider SpringerLink
Author Wang, Peng
Copyright Year 2016
Abstract We conjecture that a Willmore torus having Willmore functional between 2π 2 and 2π 2 $$\sqrt 3 $$ is either conformally equivalent to the Clifford torus, or conformally equivalent to the Ejiri torus. Ejiri’s torus in S 5 is the first example of Willmore surface which is not conformally equivalent to any minimal surface in any real space form. Li and Vrancken classified all Willmore surfaces of tensor product in S n by reducing them into elastic curves in S 3, and the Ejiri torus appeared as a special example. In this paper, we first prove that among all Willmore tori of tensor product, the Willmore functional of the Ejiri torus in S 5 attains the minimum 2π 2 $$\sqrt 3 $$ , which indicates our conjecture holds true for Willmore surfaces of tensor product. Then we show that all Willmore tori of tensor product are unstable when the co-dimension is big enough. We also show that the Ejiri torus is unstable even in S 5. Moreover, similar to Li and Vrancken, we classify all constrained Willmore surfaces of tensor product by reducing them with elastic curves in S 3. All constrained Willmore tori obtained this way are also shown to be unstable when the co-dimension is big enough.
Ending Page 1026
Page Count 13
Starting Page 1014
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 9
Volume Number 32
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2016-08-15
Publisher Place Beijing
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Willmore functional elastic curves constrained Willmore surfaces surfaces of tensor product Immersions (minimal, prescribed curvature, tight, etc.) Conformal differential geometry Mathematics Ejiri’s Willmore torus
Content Type Text
Resource Type Article
Subject Applied Mathematics
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