Abstract
We present a deformation for constant mean curvature tori in the 3-sphere. We show that the moduli space of equivariant constant mean curvature tori in the 3-sphere is connected, and we classify the minimal, the embedded, and the Alexandrov embedded tori therein.
Received: 2010-12-29
Revised: 2013-6-28
Published Online: 2015-9-5
Published in Print: 2015-10-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Stable reduction of X0(p4)
- Flows of constant mean curvature tori in the 3-sphere: The equivariant case
- The Thurston norm and twisted Alexander polynomials
- Finite dimensional representations of Khovanov–Lauda–Rouquier algebras I: Finite type
- Continuity and finiteness of the radius of convergence of a p-adic differential equation via potential theory
- On a congruence prime criterion for cusp forms on GL2 over number fields
- A note on cancellation in totally definite quaternion algebras
- Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons
Articles in the same Issue
- Frontmatter
- Stable reduction of X0(p4)
- Flows of constant mean curvature tori in the 3-sphere: The equivariant case
- The Thurston norm and twisted Alexander polynomials
- Finite dimensional representations of Khovanov–Lauda–Rouquier algebras I: Finite type
- Continuity and finiteness of the radius of convergence of a p-adic differential equation via potential theory
- On a congruence prime criterion for cusp forms on GL2 over number fields
- A note on cancellation in totally definite quaternion algebras
- Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons