5 papers
Schwarz-Type Null Curves in : Symmetry and Period Reduction
Erhan Güler, Magdalena Toda
We study a genus-three hyperelliptic holomorphic null-curve family in , modelled on the algebraic data of the classical Schwarz P/D family, whose real parts define mi…
Gauss Maps in Hyperbolic Surface Theory:A Unified Perspective
Magdalena Toda, Erhan Güler
Immersed surfaces in hyperbolic three-space carry several natural Gauss-type maps with distinct geometric roles. The hyperbolic Gauss maps record the ideal endpoints of oriented no…
A Weierstrass-Kenmotsu Type Representation for CMC in $\mathbb{H}^3(-1)$
Magdalena Toda, Erhan Güler, Madusha Dilhani Atampalage
We develop a Weierstrass-Kenmotsu type representation for conformal immersions of constant mean curvature in hyperbolic -space $\HH$. The construction is based on the…
Explicit Minimal Surface Models in via Holomorphic Null Curves
Magdalena Toda, Erhan Güler
We study explicit conformal minimal immersions into obtained from holomorphic null curves in . Although the general correspondence between conformal mi…
Henneberg-Type Minimal Immersions in
Erhan Güler, Magdalena Toda
We construct a family of higher-order Henneberg-type minimal surfaces in from explicit holomorphic data in a generalized Weierstrass--Enneper representation. The con…