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Discrete Minimal Surface Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their representations are used as a ...
Joakim Arnlind, Jens Hoppe
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A Carleman inequality on product manifolds and applications to rigidity problems
Advanced Nonlinear Studies, 2023 In this article, we prove a Carleman inequality on a product manifold M×RM\times {\mathbb{R}}. As applications, we prove that (1) a periodic harmonic function on R2{{\mathbb{R}}}^{2} that decays faster than all exponential rate in one direction must be ...
Sun Ao
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Design and Analysis of the Membrane Structure [PDF]
Transactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2013 The article deals with problems in designing and analyzing the membrane structure of a stadium roof. Attention is especially given to problems relating to the optimal design of the shape of the membrane (form finding) and the supporting cable system with
Ivan NĚMEC, Rostislav LANG
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Singular Minimal Surfaces which are Minimal
Universal Journal of Mathematics and Applications, 2021 In the present paper, we discuss the singular minimal surfaces in Euclidean $3-$space $\mathbb{R}^{3}$ which are minimal. Such a surface is nothing but a plane, a trivial outcome.
Ayla Erdur Kara +2 more
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Review of the State-of-the-Art Uses of Minimal Surfaces in Heat Transfer
Energies, 2022 The design of heat exchangers may change dramatically through the use of additive manufacturing (AM). Additive manufacturing, colloquially known as 3D printing, enables the production of monolithic metal bodies, devoid of contact resistance.
Krzysztof Dutkowski +2 more
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Generalized Helicoidal Surfaces in Euclidean 5-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ...
Uçum Ali, Sakaki Makoto
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Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral
Modelling in Civil Environmental Engineering, 2022 The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness.
Broscăţeanu Ștefan Cezar
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Aircraft Wing Design for Extended Hybrid Laminar Flow Control
Aerospace, 2023 Laminar flow offers significant potential for increasing the energy-efficiency of future transport aircraft. The German Cluster of Excellence SE2A is developing a new approach for hybrid laminar flow control.
Lennart Lobitz +7 more
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Stripped and layered fabrication of minimal surface tectonics using parametric algorithms
Curved and Layered Structures, 2023 This article describes a parametric design and fabrication workflow influenced by Frei Otto’s form-finding experiments on soap films. The research investigates minimal surface geometry by combining physical and digital experiments in a computational ...
Gokmen Sabri
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The Cohomological Genus and Symplectic Genus for 4-Manifolds of Rational or Ruled Types
Mathematics, 2021 An important problem in low dimensional topology is to understand the properties of embedded or immersed surfaces in 4-dimensional manifolds. In this article, we estimate the lower genus bound of closed, connected, smoothly embedded, oriented surfaces in
Bo Dai, Chung-I Ho
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