Magdalena Toda

collaborators

4 papers

math.DG2026

Gauss Maps in Hyperbolic Surface Theory:A Unified Perspective

Magdalena Toda, Erhan GÃ¼ler

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…

math.DG2026

A Weierstrass-Kenmotsu Type Representation for CMC $0 \leq H < 1$ in $\mathbb{H}^3(-1)$

Magdalena Toda, Erhan GÃ¼ler, Madusha Dilhani Atampalage

We develop a Weierstrass-Kenmotsu type representation for conformal immersions of constant mean curvature $0 \leq H < 1$ in hyperbolic $3$ -space $\HH$. The construction is based on the…

math.DG2026

Explicit Minimal Surface Models in $R^{5}$ via Holomorphic Null Curves

Magdalena Toda, Erhan GÃ¼ler

We study explicit conformal minimal immersions into $R^{5}$ obtained from holomorphic null curves in $C^{5}$ . Although the general correspondence between conformal mi…

math.DG2025

The higher-order Henneberg-type minimal surfaces family in $R^{4}$

Erhan GÃ¼ler, Magdalena Toda

We consider a higher-order Henneberg-type minimal surfaces family using the generalized Weierstrass--Enneper representation in four-dimensional space $R^{4}$ . We derive expl…

Gauss Maps in Hyperbolic Surface Theory:A Unified Perspective

A Weierstrass-Kenmotsu Type Representation for CMC 0≤H<1 in $\mathbb{H}^3(-1)$

Explicit Minimal Surface Models in R5 via Holomorphic Null Curves

The higher-order Henneberg-type minimal surfaces family in R4

A Weierstrass-Kenmotsu Type Representation for CMC $0 \leq H < 1$ in $\mathbb{H}^3(-1)$

Explicit Minimal Surface Models in $R^{5}$ via Holomorphic Null Curves

The higher-order Henneberg-type minimal surfaces family in $R^{4}$