Simple factor dressing and the López–Ros deformation of minimal surfaces in Euclidean 3-space
K Leschke, K Moriya - Mathematische Zeitschrift, 2019 - Springer
The aim of this paper is to investigate a new link between integrable systems and minimal
surface theory. The dressing operation uses the associated family of flat connections of a …
surface theory. The dressing operation uses the associated family of flat connections of a …
Constant mean curvature surfaces
WH Meeks III, J Pérez, G Tinaglia - arXiv preprint arXiv:1605.02512, 2016 - arxiv.org
arXiv:1605.02512v1 [math.DG] 9 May 2016 Page 1 Constant mean curvature surfaces William H.
Meeks III, Joaquın Pérez, Giuseppe Tinaglia May 10, 2016 Abstract In this article we survey recent …
Meeks III, Joaquın Pérez, Giuseppe Tinaglia May 10, 2016 Abstract In this article we survey recent …
Simple factor dressing and the Lopez-Ros deformation of minimal surfaces in Euclidean 3-space
K Leschke, K Moriya - arXiv preprint arXiv:1409.5286, 2014 - arxiv.org
The aim of this paper is to give a new link between integrable systems and minimal surface
theory. The dressing operation uses the associated family of flat connections of a harmonic …
theory. The dressing operation uses the associated family of flat connections of a harmonic …
A parabolic minimal surface in R3 intersects every nonflat properly embedded minimal surface of bounded curvature
F Forstneric - arXiv preprint arXiv:2206.06045, 2022 - arxiv.org
We show that the image of a nonconstant conformal harmonic map $\mathbb C\to\mathbb
R^ 3$, not necessarily proper and possibly with branch points, intersects every properly …
R^ 3$, not necessarily proper and possibly with branch points, intersects every properly …
Minimal surfaces in foliated by conic sections and parabolic rotations of holomorphic null curves in
H Lee - arXiv preprint arXiv:1702.06047, 2017 - arxiv.org
Using the complex parabolic rotations of holomorphic null curves in ${\mathbb {C}}^{4} $, we
transform minimal surfaces in Euclidean space ${\mathbb {R}}^{3}\subset {\mathbb {R}}^{4} …
transform minimal surfaces in Euclidean space ${\mathbb {R}}^{3}\subset {\mathbb {R}}^{4} …
Minimal surfaces in ${\\mathbb {R}}^{4} $ foliated by conic sections and parabolic rotations of holomorphic null curves in ${\\mathbb {C}}^{4} $
이호주 - 대한수학회지, 2020 - dbpia.co.kr
Using the complex parabolic rotations of holomorphic null curves in ${\mathbb {C}}^{4} $, we
transform minimal surfaces in Euclidean space ${\mathbb {R}}^{3} $ to a family of …
transform minimal surfaces in Euclidean space ${\mathbb {R}}^{3} $ to a family of …
Regarding a uniqueness property of singly-periodic Scherk surfaces
J Bernstein - arXiv e-prints, 2013 - ui.adsabs.harvard.edu
Inspired by an argument of Ros [15]--we use the López-Ros deformation to give another
proof of the fact--due to Meeks and Wolf [13]--that the only smooth, connected, singly …
proof of the fact--due to Meeks and Wolf [13]--that the only smooth, connected, singly …