Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Rossman, W."'
Publikováno v:
Proc. London Math. Soc. 126 (2023) 790-836
We provide a convincing discretisation of Demoulin's $\Omega$-surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.
Comment: 40 A4 pages. v2: small changes in response to referee, inc
Comment: 40 A4 pages. v2: small changes in response to referee, inc
Externí odkaz:
http://arxiv.org/abs/2008.01447
Publikováno v:
In Differential Geometry and its Applications October 2022 84
Publikováno v:
Geom. Dedicata 183 (2016) 43-58
A Darboux transformation for polarized space curves is introduced and its properties are studied, in particular, Bianchi permutability. Semi-discrete isothermic surfaces are described as sequences of Darboux transforms of polarized curves in the conf
Externí odkaz:
http://arxiv.org/abs/1506.04730
Publikováno v:
Nagoya Math. J. 231, (2018) 55-88
Discrete linear Weingarten surfaces in space forms are characterized as special discrete $\Omega$-nets, a discrete analogue of Demoulin's $\Omega$-surfaces. It is shown that the Lie-geometric deformation of $\Omega$-nets descends to a Lawson transfor
Externí odkaz:
http://arxiv.org/abs/1406.1293
Publikováno v:
RIMS Ky\^ok\^uroku Bessatsu 1880 (2014) 133-179
We propose a unified definition for discrete analogues of constant mean curvature surfaces in spaces of constant curvature as a special case of discrete special isothermic nets. B\"acklund transformations and Lawson's correspondence are discussed. It
Externí odkaz:
http://arxiv.org/abs/0804.2707
Publikováno v:
Compositio Math. 144 (2008), 186-220
The generalized Weierstrass representation is used to analyze the asymptotic behavior of a constant mean curvature surface that arises locally from an ordinary differential equation with a regular singularity. We prove that a holomorphic perturbation
Externí odkaz:
http://arxiv.org/abs/math/0701082
Autor:
Rossman, W, Schmitt, N
Publikováno v:
Ann. della Scuola Norm. Sup. Pisa 5 (2006), 549-577
We give necessary and sufficient local conditions for the simultaneous unitarizability of a set of analytic matrix maps from an analytic 1-manifold into SL_n(C) under conjugation by a single analytic matrix map. We apply this result to the monodromy
Externí odkaz:
http://arxiv.org/abs/math/0608651
Publikováno v:
J. London Math. Soc. (2) 72 (2005), 258-272.
We show the existence of several new families of non-compact constant mean curvature surfaces: (i) singly-punctured surfaces of arbitrary genus $g \geq 1$, (ii) doubly-punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/math/0403381
Publikováno v:
J. London Math. Soc. (2) 75 (2007), 563-581.
We present a theorem on the unitarizability of loop group valued monodromy representations and apply this to show the existence of new families of constant mean curvature surfaces homeomorphic to a thrice-punctured sphere in the simply-connected 3-di
Externí odkaz:
http://arxiv.org/abs/math/0403366
Publikováno v:
Proceedings of the London Mathematical Society. 126:790-836
We provide a convincing discretisation of Demoulin's $\Omega$-surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.
Comment: 40 A4 pages. v2: small changes in response to referee, inc
Comment: 40 A4 pages. v2: small changes in response to referee, inc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2a22451274fa7f7af87ca8df955d04b
https://doi.org/10.1112/plms.12499
https://doi.org/10.1112/plms.12499