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Kinematic surfaces with congruent generatrix curves
RUDN Journal of Engineering Research, 2023 Kinematic surfaces of general type are considered to include rotational, spiroidal and translation surfaces. The author indicates that a class of kinematic surfaces under consideration also comprises instances of eleven other classes. A classification of
Sergey N. Krivoshapko
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Some examples of algebraic surfaces with canonical map of degree 20
Comptes Rendus. Mathématique, 2021 In this note, we construct two minimal surfaces of general type with geometric genus $ p_g = 3 $, irregularity $ q = 0 $, self-intersection of the canonical divisor $ K^2 = 20, 24 $ such that their canonical map is of degree $ 20 $.
Bin, Nguyen
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Canonical Coordinates and Natural Equation for Lorentz Surfaces in
Mathematics, 2021 We consider Lorentz surfaces in R13 satisfying the condition H2−K≠0, where K and H are the Gaussian curvature and the mean curvature, respectively, and call them Lorentz surfaces of general type. For this class of surfaces, we introduce special isotropic
Krasimir Kanchev +2 more
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Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
Complex Manifolds, 2022 We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method.
Dorfmeister Josef F. +2 more
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Surfaces of congruent sections of pendulum type on cylinders with generatrix superellipses
Structural Mechanics of Engineering Constructions and Buildings, 2022 In 1972, I.I. Kotov proposed to separate the surfaces of congruent sections into a separate class and to include the surfaces of plane-and-parallel translation, surfaces of revolution, carved surfaces of Monge, cyclic surfaces with a generatrix circle of
Lana A. Alborova, Stanislav V. Strashnov
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Generalized Calabi type Kähler surfaces
Journal of Geometry and Physics, 2022 15 pages.
Jelonek, Włodzimierz, Mulawa, Ewelina
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Elliptic K3 surfaces at infinite complex structure and their refined Kulikov models
Journal of High Energy Physics, 2022 Motivated by the Swampland Distance and the Emergent String Conjecture of Quantum Gravity, we analyse the infinite distance degenerations in the complex structure moduli space of elliptic K3 surfaces. All complex degenerations of K3 surfaces are known to
Seung-Joo Lee, Timo Weigand
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The Perceptual Organisation of Visual Elements: Lines
Brain Sciences, 2021 The aim of this study is to verify the conditions under which a series of visual stimuli (line segments) will be subjectively perceived as visual lines or surfaces employing four experiments.
Liliana Albertazzi +3 more
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Surfaces with a main framework of three given curves which include one circle
Structural Mechanics of Engineering Constructions and Buildings, 2023 Superellipses are becoming more and more in demand in various branches of science and national economy due to their versatility. They found the most application in shipbuilding. Suggestions for the use of superellips in architecture and construction have
Sergey N. Krivoshapko
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Generalized algebraic completely integrable systems [PDF]
Surveys in Mathematics and its Applications, 2020 We tackle in this paper the study of generalized algebraic completely integrable systems. Some interesting cases of integrable systems appear as coverings of algebraic completely integrable systems.
Ahmed Lesfari
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