Helix surfaces in Lorentzian Heisenberg group

Differential Geometry and its Applications 2026 Open access

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Authors: Lorenzo Pellegrino
DOI: 10.1016/j.difgeo.2026.102380
Cited by: 0
References: 25

Abstract

In this work we investigate constant angle surfaces in the Lorentzian Heisenberg group H3(τ). After providing a complete description of the geometry of the ambient space, we perform the full classification of minimal and CMC helix surfaces in H3(τ), giving their explicit parametrizations. In addition, we investigate the constant angle spacelike and timelike surfaces for a Lorentzian metric on the Heisenberg group H3 not treated before in the literature, first showing that such surfaces have constant Gaussian curvature and then obtaining their complete characterization.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Neuroimaging Techniques and Applications Advanced Algebra and Geometry

Publication details

Journal / source
Differential Geometry and its Applications
Publisher
Elsevier BV
Volume
103
Pages
102380–102380
Publication date
16 April 2026
Language
EN