Mathematics – Differential Geometry
Scientific paper
2011-10-05
Mathematics
Differential Geometry
11 pages, product of the Indiana University REU program 2011
Scientific paper
We develop a conservation law for constant mean curvature (CMC) surfaces introduced by Korevaar, Kusner and Solomon, and provide a converse, so as to characterize CMC surfaces by a conservation law. We work with `twizzler' construction, which applies a screw-motion to some base curve. We show that, excluding cylinders, CMC helicoidal surfaces can be completely determined by a first-order ODE of the base curve. Further, we demonstrate that in R^3 this condition is equivalent to the treadmillsled characterization of helicoidal CMC surfaces given by O. Perdomo.
No associations
LandOfFree
A conservation approach to helicoidal surfaces of constant mean curvature in R^3, S^3 and H^3 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 A conservation approach to helicoidal surfaces of constant mean curvature in R^3, S^3 and H^3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A conservation approach to helicoidal surfaces of constant mean curvature in R^3, S^3 and H^3 will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-325947