Results 1 to 10 of about 768,787 (306)

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, Muhittin Evren Aydın, Mahmut Ergüt   +2 more
doaj   +5 more sources

Novel hybrid minimal surface-based lattice materials

Materials & Design
The sheet-based triply periodic minimal surface (TPMS) architecture exhibits effective properties below the stiffness Hashin-Shtrikman upper bound and the strength Suquet upper bound (SU). However, some plate-based architectures have achieved these upper
Chukwugozie J. Ejeh, Imad Barsoum, Rashid K. Abu Al-Rub   +2 more
doaj   +2 more sources

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
doaj   +6 more sources

Bulk metric reconstruction from entanglement data via minimal surface area variations [PDF]

Journal of High Energy Physics
We investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions.
Niko Jokela, Tony Liimatainen, Miika Sarkkinen, Leo Tzou   +3 more
doaj   +2 more sources

Surface Morphology, Compressive Behavior, and Energy Absorption of Graded Triply Periodic Minimal Surface 316L Steel Cellular Structures Fabricated by Laser Powder Bed Fusion. [PDF]

Materials (Basel), 2022
Ravichander BB, Jagdale SH, Kumar G.
europepmc   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Noncommutative Minimal Surfaces [PDF]

Letters in Mathematical Physics, 2016
We define noncommutative minimal surfaces in the Weyl algebra, and give a method to construct them by generalizing the well-known Weierstrass-representation.
Arnlind, Joakim, Choe, Jaigyoung, Hoppe, Jens   +2 more
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source