3 papers
math.MG2026
Rigidity and flexibility of discrete conjugate nets with flexible -subnets
Ivan Izmestiev, Georg Nawratil, Sobhan Samareh Rad +1
Discrete conjugate nets (also known as quad-surfaces) are polyhedral surfaces made of quadrilaterals connected in the combinatorics of the square grid. A generic discrete conjugate…
math.MG2025
Discrete Laplacians -- spherical and hyperbolic
Ivan Izmestiev, Wai Yeung Lam
The discrete Laplacian on Euclidean triangulated surfaces is a well-established notion. We introduce discrete Laplacians on spherical and hyperbolic triangulated surfaces. On the o…
math.DG2025
Discrete curvature
Ivan Izmestiev
The combination of words ``discrete curvature'' is only an apparent contradiction. In this survey we describe curvature notions associated with polygons, polyhedral surfaces, and w…