6 citations · 12 across the 4 of their papers we have counts for
4 papers
Lie minimal Weingarten surfaces
Joseph Cho, Masaya Hara, Denis Polly +1
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-La…
Rotational cmc surfaces in terms of Jacobi elliptic functions
Denis Polly
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 s…
Discrete Weierstrass-type representations
Mason Pember, Denis Polly, Masashi Yasumoto
Discrete Weierstrass-type representations yield a construction method in discrete differential geometry for certain classes of discrete surfaces. We show that the known discrete We…
Channel linear Weingarten surfaces in space forms
Udo Hertrich-Jeromin, Mason Pember, Denis Polly
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…