Journal
MATHEMATISCHE ANNALEN
Volume 348, Issue 1, Pages 1-24Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00208-009-0467-9
Keywords
-
Categories
Funding
- Austrian Science Foundation (FWF) [P19214-N18, S92-06, S92-09]
- DFG
- Austrian Science Fund (FWF) [P19214] Funding Source: Austrian Science Fund (FWF)
Ask authors/readers for more resources
We consider a general theory of curvatures of discrete surfaces equipped with edgewise parallel Gauss images, and where mean and Gaussian curvatures of faces are derived from the faces' areas and mixed areas. Remarkably these notions are capable of unifying notable previously defined classes of surfaces, such as discrete isothermic minimal surfaces and surfaces of constant mean curvature. We discuss various types of natural Gauss images, the existence of principal curvatures, constant curvature surfaces, Christoffel duality, Koenigs nets, contact element nets, s-isothermic nets, and interesting special cases such as discrete Delaunay surfaces derived from elliptic billiards.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available