Surfaces in \E³ making constant angle with Killing vector fields

2010/10/27 by Marian Ioan Munteanu, Munteanu, Marian Ioan, Ana Irina Nistor +1 · 2 citations
Mathematics · #53B25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1010.5795

openalex publication_date 2010/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we classify curves and surfaces in Euclidean 3-space which make constant angle with a certain Killing vector field. Moreover, we characterize the catenoid and Dini's surface in terms of constant angle surfaces.

Citations

• General helices and a theorem of Lancret
• Helicoidal surfaces in Minkowski space with constant mean curvature and\n constant Gauss curvature

Cited by

• Hypersurfaces in Riemannian manifolds with torse-forming axes
• A note on helices in the Euclidean space and in the hyperbolic space

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