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Author

Erhan Güler

Bartın University

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Preprint Aug 2026

Schwarz-Type Null Curves in $\mathbb{C}^4$: Symmetry and Period Reduction

We study a genus-three hyperelliptic holomorphic null-curve family in $\mathbb{C}^4$, modelled on the algebraic data of the classical Schwarz P/D family, whose real parts define minimal immersions into $\mathbb{R}^4$. For the order-four automorphism $\omega\mapsto i\omega$ of the underlying Schwarz curve, we compute ex...

Erhan Güler, Magdalena Toda · 0 citations
Preprint Jul 2026

Gauss Maps in Hyperbolic Surface Theory:A Unified Perspective

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 normal geodesics; the Legendre Gauss lift retains the position-normal data and its contact structure; adjusted Gauss maps arise from gauge nor...

Magdalena Toda, Erhan Güler · 0 citations

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