Translator Disclaimer
VOL. 78 | 2018 Discrete linear Weingarten surfaces with singularities in Riemannian and Lorentzian spaceforms
Wayne Rossman, Masashi Yasumoto

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Minoru Yamamoto, Kentaro Saji, Takahiro Yamamoto, Masatomo Takahashi

Abstract

In this paper we define and analyze singularities of discrete linear Weingarten surfaces with Weierstrass-type representations in 3-dimensional Riemannian and Lorentzian spaceforms. In particular, we discuss singularities of discrete surfaces with non-zero constant Gaussian curvature, and parallel surfaces of discrete minimal and maximal surfaces, and discrete constant mean curvature 1 surfaces in de Sitter 3-space, including comparisons with different previously known definitions of such singularities.

Information

Published: 1 January 2018
First available in Project Euclid: 4 October 2018

zbMATH: 07085113
MathSciNet: MR3839955

Digital Object Identifier: 10.2969/aspm/07810383

Subjects:
Primary: 53A10
Secondary: 52C99

Rights: Copyright © 2018 Mathematical Society of Japan

PROCEEDINGS ARTICLE
28 PAGES


SHARE
RIGHTS & PERMISSIONS
Get copyright permission
Back to Top