publication . Preprint . 2005

Discrete differential geometry. Consistency as integrability

Bobenko, Alexander I.; Suris, Yuri B.;
Open Access English
  • Published: 18 Apr 2005
Abstract
A new field of discrete differential geometry is presently emerging on the border between differential and discrete geometry. Whereas classical differential geometry investigates smooth geometric shapes (such as surfaces), and discrete geometry studies geometric shapes with finite number of elements (such as polyhedra), the discrete differential geometry aims at the development of discrete equivalents of notions and methods of smooth surface theory. Current interest in this field derives not only from its importance in pure mathematics but also from its relevance for other fields like computer graphics. Recent progress in discrete differential geometry has lead,...
Subjects
free text keywords: Mathematics - Differential Geometry, Mathematics - Complex Variables, Nonlinear Sciences - Exactly Solvable and Integrable Systems
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