A Discrete Parametrized Surface Theory in R-3

作者:Hoffmann Tim; Sageman Furnas Andrew O*; Wardetzky Max
来源:International Mathematics Research Notices, 2017, (14): 4217-4258.
DOI:10.1093/imrn/rnw015

摘要

We propose a discrete surface theory in R-3 that unites the most prevalent versions of discrete special parametrizations. Our theory encapsulates a large class of discrete surfaces given by a Lax representation and, in particular, the one-parameter associated families of constant curvature surfaces. Our theory is not restricted to integrable geometries, but extends to a general surface theory.

  • 出版日期2017-7