Results 11 to 20 of about 2,059,946 (289)
, 2021 [en] In the present work we define the concept of Minimal Surface and prove some important results related to it. To begin with, we review some elementary definitions and results of differential geometry. Then, we study normal variations of curves and surfaces and solve some optimisation problems as examples of this techniques.
de Miguel Blasco, Lluís
core +9 more sources
Some perspectives on (non)local phase transitions and minimal surfaces
Bulletin 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
Quantum minimal surfaces from quantum error correction
SciPost Physics, 2022 We show that complementary state-specific reconstruction of logical (bulk) operators is equivalent to the existence of a quantum minimal surface prescription for physical (boundary) entropies.
Chris Akers, Geoff Penington
doaj +1 more source
Diameter Bounds on the Complex of Minimal Genus Seifert Surfaces for Hyperbolic Knot [PDF]
, 2007 Given a link L in the 3-sphere, one can build simplicial complexes MS(L) and IS(L), called the Kakimizu complexes. These complexes have isotopy classes of minimal genus and incompressible Seifert surfaces for L as their vertex sets and have simplicial ...
Pelayo, Roberto Carlos
core +1 more source
Curved 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
Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
core +1 more source
Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]
, 2003 It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
core +1 more source
Complete Non-Orientable Minimal Surfaces in ℝ3 and Asymptotic Behavior
Analysis 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
Mathematics, 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 quadrangulations of surfaces
Journal of Combinatorial Theory, Series B, 2022 25 pages, 20 ...
Wenzhong Liu +2 more
openaire +3 more sources