2 papers
math.DG2025
Discrete minimal surfaces: Old and New
Wai Yeung Lam, Masashi Yasumoto
We survey structure-preserving discretizations of minimal surfaces in Euclidean space. Our focus is on a discretization defined via parallel face offsets of polyhedral surfaces, wh…
math.DG2017
Semi-discrete linear Weingarten surfaces with Weierstrass-type representations and their singularities
Masashi Yasumoto, Wayne Rossman
We establish what semi-discrete linear Weingarten surfaces with Weierstrass-type representations in -dimensional Riemannian and Lorentzian spaceforms are, confirming their requi…