Results 21 to 30 of about 9,844,505 (300)

Free boundary minimal surfaces with connected boundary and arbitrary genus [PDF]

open access: yesCambridge Journal of Mathematics, 2020
We employ min-max techniques to show that the unit ball in $\mathbb{R}^3$ contains embedded free boundary minimal surfaces with connected boundary and arbitrary genus.
A. Carlotto   +2 more
semanticscholar   +1 more source

Some perspectives on (non)local phase transitions and minimal surfaces

open access: yesBulletin of Mathematical Sciences, 2023
We present here some classical and modern results about phase transitions and minimal surfaces, which are quite intertwined topics. We start from scratch, revisiting the theory of phase transitions as put forth by Lev Landau.
Serena Dipierro, Enrico Valdinoci
doaj   +1 more source

An overview of the natural force density method and its implementation on an efficient parametric computational framework

open access: yesCurved and Layered Structures, 2021
The new paradigms of parametric modelling have been proving promising on the advance of systems for analysis and design of taut (or tensile) structures.
de Souza Márcio S. V.   +1 more
doaj   +1 more source

Complete Non-Orientable Minimal Surfaces in ℝ3 and Asymptotic Behavior

open access: yesAnalysis and Geometry in Metric Spaces, 2014
In this paperwe give new existence results for complete non-orientable minimal surfaces in ℝ3 with prescribed topology and asymptotic ...
Alarcón Antonio, López Francisco J.
doaj   +1 more source

The Existence of rG Family and tG Family, and Their Geometric Invariants

open access: yesMathematics, 2020
In the 1990s, physicists constructed two one-parameter families of compact oriented embedded minimal surfaces in flat three-tori by using symmetries of space groups, called the rG family and tG family.
Norio Ejiri, Toshihiro Shoda
doaj   +1 more source

Minimal surfaces in AdS C-metric

open access: yesPhysics Letters B, 2017
We shed some light on the field theory interpretation of C-metric by investigating the minimal surfaces which are homologous to the given boundary regions. The accelerating black holes change the asymptotic structure of the space–time.
Hao Xu
doaj   +1 more source

Spectral properties and conformal type of surfaces

open access: yesAnais da Academia Brasileira de Ciências, 2002
In this short note, we announce a result relating the geometry of a riemannian surface to the positivity of some operators on this surface (the operators considered here are of the form surface Laplacian plus a scalar multiple of the curvature function).
PHILIPPE CASTILLON
doaj   +1 more source

Bioinspired heat exchangers based on triply periodic minimal surfaces for supercritical CO2 cycles

open access: yesApplied Thermal Engineering, 2020
The supercritical carbon dioxide (sCO2) based Brayton cycle is a proposed alternative to replace conventional Rankine cycles in terms of high cycle efficiency, compact turbomachinery and heat exchangers.
Weihong Li, Guopeng Yu, Zhibin Yu
semanticscholar   +1 more source

A short note about -width of Lens spaces

open access: yesBulletin of Mathematical Sciences, 2023
In this note, we explore the nature of Lens spaces to study the first width of those spaces, more precisely, we use the existence of a sharp sweep out associated to a Clifford torus to provide a simple and pretty application of the Willmore conjecture ...
Márcio Batista, Anderson Lima
doaj   +1 more source

Bloch-Type Spaces of Minimal Surfaces

open access: yesJournal of Function Spaces, 2018
We study Bloch-type spaces of minimal surfaces from the unit disk D into Rn and characterize them in terms of weighted Lipschitz functions. In addition, the boundedness of a composition operator Cϕ acting between two Bloch-type spaces is discussed.
Guanghua He, Xi Fu, Hancan Zhu
doaj   +1 more source

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