Results 21 to 30 of about 2,059,946 (289)

The spinor representation of constant mean curvature one surfaces in the Hyperbolic space [PDF]

open access: yes, 1970
We review and comment on some aspects of the spinor representation for constant mean curvature one surfaces in hyperbolic space developed by Bobenko-Pavlyukevich-Springborn in [1].
Nicolodi, Lorenzo   +4 more
core   +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

Blackfolds, plane waves and minimal surfaces [PDF]

open access: yes, 2015
Minimal surfaces in Euclidean space provide examples of possible non-compact horizon geometries and topologies in asymptotically flat space-time. On the other hand, the existence of limiting surfaces in the space-time provides a simple mechanism for ...
Jay Armas   +3 more
core   +2 more sources

Noncommutative Minimal Surfaces [PDF]

open access: yesLetters 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   +2 more
openaire   +3 more sources

Reconstruction of freeform surfaces for metrology [PDF]

open access: yes, 2013
The application of freeform surfaces has increased since their complex shapes closely express a product's functional specifications and their machining is obtained with higher accuracy.
ANWER, Nabil   +10 more
core   +1 more source

Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

open access: yesComplex 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
doaj   +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

Exotic Minimal Surfaces [PDF]

open access: yesThe Journal of Geometric Analysis, 2012
We prove a general fusion theorem for complete orientable minimal surfaces in $\mathbb{R}^3$ with finite total curvature. As a consequence, complete orientable minimal surfaces of weak finite total curvature with exotic geometry are produced. More specifically, universal surfaces (i.e., surfaces from which all minimal surfaces can be recovered) and ...
openaire   +3 more sources

Existence and properties of minimal surfaces and varifolds with contact angle conditions [PDF]

open access: yes, 2022
This thesis is devoted to the study of minimal surfaces with prescribed angle conditions and to their generalizations in the sense of Geometric Measure Theory.
De Masi, Luigi
core  

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

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