Discrete linear Weingarten surfaces
F Burstall, U Hertrich-Jeromin… - Nagoya Mathematical …, 2018 - cambridge.org
Discrete linear Weingarten surfaces in space forms are characterized as special discrete-
nets descends to a Lawson transformation for discrete linear Weingarten surfaces, which …
nets descends to a Lawson transformation for discrete linear Weingarten surfaces, which …
Discrete linear Weingarten surfaces with singularities in Riemannian and Lorentzian spaceforms
W Rossman, M Yasumoto - Singularities in Generic Geometry, 2018 - projecteuclid.org
In this paper we define and analyze singularities of discrete linear Weingarten surfaces with
Weierstrass-type representations in 3-dimensional Riemannian and Lorentzian spaceforms …
Weierstrass-type representations in 3-dimensional Riemannian and Lorentzian spaceforms …
Lie geometry of flat fronts in hyperbolic space
FE Burstall, U Hertrich-Jeromin… - Comptes …, 2010 - comptes-rendus.academie-sciences …
Lie geometry of flat fronts in hyperbolic space Page 1 CR Acad. Sci. Paris, Ser. I 348 (2010)
661–664 Contents lists available at ScienceDirect CR Acad. Sci. Paris, Ser. I www.sciencedirect.com …
661–664 Contents lists available at ScienceDirect CR Acad. Sci. Paris, Ser. I www.sciencedirect.com …
Discrete cyclic systems and circle congruences
U Hertrich-Jeromin, G Szewieczek - Annali di Matematica Pura ed …, 2022 - Springer
We discuss integrable discretizations of 3-dimensional cyclic systems, that is, orthogonal
coordinate systems with one family of circular coordinate lines. In particular, the underlying …
coordinate systems with one family of circular coordinate lines. In particular, the underlying …
Flat fronts in hyperbolic 3-space with prescribed singularities
A Martínez, F Milán - Annals of Global Analysis and Geometry, 2014 - Springer
The paper deals with the study of flat fronts in the hyperbolic 3-space, H^ 3 H 3. We
characterize when an analytic curve of H^ 3 H 3 is in the singular set of some flat front with …
characterize when an analytic curve of H^ 3 H 3 is in the singular set of some flat front with …
Discrete Weierstrass-type representations
M Pember, D Polly, M Yasumoto - Discrete & Computational Geometry, 2023 - Springer
Discrete Weierstrass-type representations yield a construction method in discrete differential
geometry for certain classes of discrete surfaces. We show that the known discrete …
geometry for certain classes of discrete surfaces. We show that the known discrete …
Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality
AI Bobenko, U Hertrich-Jeromin… - Discrete & Computational …, 2014 - Springer
Discrete constant mean curvature nets in space forms: Steiner’s formula and Christoffel
duality | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a …
duality | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a …
Singularities of discrete improper indefinite affine spheres
AR de Vargas, M Craizer - Journal of Geometry, 2023 - Springer
In this paper we consider discrete improper affine spheres based on asymptotic nets. In this
context, we distinguish the discrete edges and vertices that must be considered singular …
context, we distinguish the discrete edges and vertices that must be considered singular …
Notes on flat fronts in hyperbolic space
J Dubois, U Hertrich-Jeromin, G Szewieczek - Journal of Geometry, 2022 - Springer
Notes on flat fronts in hyperbolic space | Journal of Geometry Skip to main content SpringerLink
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[HTML][HTML] Construction of discrete constant mean curvature surfaces in Riemannian spaceforms and applications
Y Ogata, M Yasumoto - Differential Geometry and its Applications, 2017 - Elsevier
In this paper we give a construction for discrete constant mean curvature surfaces in
Riemannian spaceforms in terms of integrable systems techniques, which we call the …
Riemannian spaceforms in terms of integrable systems techniques, which we call the …