Hamiltonian stationary Lagrangian tori contained in a hypersphere

Details Hamiltonian stationary Lagrangian tori contained in a hypersphere Hamiltonian stationary Lagrangian tori contained in a hypersphere

2007-10-23

arxiv.org/abs/0710.4233v7

Mathematics

Differential Geometry

23 pages. An appendix by H. Iriyeh is removed

Scientific paper

The Clifford torus is a torus in a three-dimensional sphere. Homogeneous tori are simple generalization of the Clifford torus which still in a three-dimensional sphere. There is a way to construct tori in a three-dimensional sphere using the Hopf fibration. In this paper, all Hamiltonian stationary Lagrangian tori which is contained in a hypersphere in the complex Euclidean plane are constructed explicitly. Then it is shown that they are homogeneous tori. For the construction, flat quaternionic connections of Hamiltonian stationary Lagrangian tori are considered and a spectral curve of an associated family of them is used.

Affiliated with

Also associated with

No associations

Rating

Hamiltonian stationary Lagrangian tori contained in a hypersphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hamiltonian stationary Lagrangian tori contained in a hypersphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian stationary Lagrangian tori contained in a hypersphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-456019