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pro vyhledávání: '"Polly, Denis"'
S-embeddings were introduced by Chelkak as a tool to study the conformal invariance of the thermodynamic limit of the Ising model. Moreover, Chelkak, Laslier and Russkikh introduced a lift of s-embeddings to Lorentz space, and showed that in the limi
Externí odkaz:
http://arxiv.org/abs/2410.11575
We consider Lie minimal surfaces, the critical points of the simplest Lie sphere invariant energy, in Riemannian space forms. These surfaces can be characterized via their Euler-Lagrange equations, which take the form of differential equations of the
Externí odkaz:
http://arxiv.org/abs/2310.15695
Autor:
Polly, Denis
We give a classification of rotational cmc surfaces in non-Euclidean space forms in terms of explicit parametrizations using Jacobi elliptic functions. Our method hinges on a Lie sphere geometric description of rotational linear Weingarten surfaces a
Externí odkaz:
http://arxiv.org/abs/2305.15514
Publikováno v:
Discrete Comput Geom 70/3, 816--844 (2023)
Discrete Weierstrass-type representations yield a construction method in discrete differential geometry for certain classes of discrete surfaces. We show that the known discrete Weierstrass-type representations of certain surface classes can be viewe
Externí odkaz:
http://arxiv.org/abs/2105.06774
Publikováno v:
Beitr Algebra Geom 64/4, 969--1009 (2023)
Channel linear Weingarten surfaces in space forms are investigated in a Lie sphere geometric setting, which allows for a uniform treatment of different ambient geometries. We show that any channel linear Weingarten surface in a space form is isotherm
Externí odkaz:
http://arxiv.org/abs/2105.00702
Publikováno v:
Contributions to Algebra & Geometry; Dec2023, Vol. 64 Issue 4, p969-1009, 41p
Publikováno v:
Discrete & Computational Geometry; Oct2023, Vol. 70 Issue 3, p816-844, 29p
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