Constrained elastic curves and surfaces with spherical curvature lines

J Cho, M Pember, G Szewieczek - arXiv preprint arXiv:2104.11058, 2021 - arxiv.org
In this paper we consider surfaces with one or two families of spherical curvature lines. We
show that every surface with a family of spherical curvature lines can locally be generated by …

Monge Surfaces. Generation, Discretisation and Application in Architecture

F Gonzalez‑Quintial, A Martín‑Pastor - Nexus Network Journal, 2024 - Springer
This paper describes a revision of so-called Monge surfaces through using digital graphic
tools, based on the synthetic conception exposed by Gaspard Monge in the 18th and 19th …

How the twofold light cone arises from nonlinear electrodynamics

N Breton, AS Acevedo - The European Physical Journal Plus, 2024 - Springer
We analyze the propagation of light signals in the context of nonlinear electrodynamics. As a
general feature of the nonlinear theories, the superposition principle is no longer satisfied. In …

Smooth and discrete cone-nets

M Kilian, C Müller, J Tervooren - Results in Mathematics, 2023 - Springer
Cone-nets are conjugate nets on a surface such that along each individual curve of one
family of parameter curves there is a cone in tangential contact with the surface. The …

Smooth and Discrete Cone-Nets

K Martin, M Christian, T Jonas - 2023 - dlib.phenikaa-uni.edu.vn
Cone-nets are conjugate nets on a surface such that along each individual curve of one
family of parameter curves there is a cone in tangential contact with the surface. The …

[HTML][HTML] Поверхности конгруэнтных сечений на цилиндрах

СН Кривошапко, ВН Иванов - Вестник МГСУ, 2020 - cyberleninka.ru
Введение. До появления работы ИИ Котова не было определения поверхностей
конгруэнтных сечений. Эти и некоторые другие поверхности, образованные …

Surfaces foliated by planar geodesics: a model for curved wood design

D Brander, J Gravesen - Proceedings of Bridges 2017 …, 2017 - archive.bridgesmathart.org
Surfaces Foliated by Planar Geodesics: A Model for Curved Wood Design Page 1 Surfaces
Foliated by Planar Geodesics: A Model for Curved Wood Design David Brander Dept. of …

Surfaces of osculating circles in Euclidean space

R López, Ç Camci, A Uçum, K Ilarslan - Vietnam Journal of Mathematics, 2024 - Springer
The aim of this paper is to define a new class of surfaces in Euclidean space using the
concept of osculating circle. Given a regular curve C, the surface of osculating circles …

Generalized Bishop frames of regular curves in

S Nomoto, H Nozawa - Hokkaido Mathematical Journal, 2024 - projecteuclid.org
We introduce and study generalized Bishop frames of regular curves, which are
generalizations of the Frenet and Bishop frames for regular curves. There are four types B …

Constant angle null hypersurfaces

S Chable-Naal, M Navarro, DA Solis - Boletín de la Sociedad Matemática …, 2024 - Springer
In this work, we introduce the notion of constant angle null hypersurface of a Lorentzian
manifold with respect to a given ambient vector field. We analyze the case in which the …