Mean Curvature Surfaces
Surfaces with constant or prescribed mean curvature. The mean curvature H of a
smooth surface in R3 is the mean of the two principal curvature
values. In contrast to minimal surfaces this section considers surfaces where
the mean curvature does not vanish identically.
Physically speaking, small parts of constant mean
curvature surfaces minimize surfaces area under a volume constraint. Soap
bubbles are classical examples.
- U. Dierkes, S. Hildebrandt, A. Küster, O. Wohlrab: Minimal Surfaces I+II, Grundlehren der Mathematik, Springer Verlag (1992).
As a guide, meshes should have no holes, no degenerate triangles and
elements, no duplicate vertices. Surfaces should have meshes with an adjacency