Cyclic and ruled Lagrangian surfaces in complex Euclidean space

Details Cyclic and ruled Lagrangian surfaces in complex Euclidean space Cyclic and ruled Lagrangian surfaces in complex Euclidean space

2007-03-21

arxiv.org/abs/math/0703645v2

Bulletin Brazilian Mathematical Society 40, 3 (2009) 341-369

Mathematics

Differential Geometry

Scientific paper

10.1007/s00574-009-0015-y

We study those Lagrangian surfaces in complex Euclidean space which are foliated by circles or by straight lines. The former, which we call cyclic, come in three types, each one being described by means of, respectively, a planar curve, a Legendrian curve of the 3-sphere or a Legendrian curve of the anti de Sitter 3-space. We also describe ruled Lagrangian surfaces. Finally we characterize those cyclic and ruled Lagrangian surfaces which are solutions to the self-similar equation of the Mean Curvature Flow. Finally, we give a partial result in the case of Hamiltonian stationary cyclic surfaces.

Affiliated with

Also associated with

No associations

Rating

Cyclic and ruled Lagrangian surfaces in complex Euclidean space 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 Cyclic and ruled Lagrangian surfaces in complex Euclidean space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cyclic and ruled Lagrangian surfaces in complex Euclidean space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168437