Helix surfaces for Berger-like metrics on the anti-de Sitter space
Giovanni Calvaruso
;Irene I. Onnis;Daria Uccheddu
2024-01-01
Abstract
We consider the Anti-de Sitter space $\mathbb{H}^3_1$ equipped with Berger-like metrics, that deform the standard metric of $\mathbb{H}^3_1$ in the direction of the hyperbolic Hopf vector field. Helix surfaces are the ones forming a constant angle with such vector field. After proving that these surfaces have (any) constant Gaussian curvature, we achieve their explicit local description in terms of a one-parameter family of isometries of the space and some suitable curves. These curves turn out to be general helices, which meet at a constant angle the fibers of the hyperbolic Hopf fibration.File | Size | Format | |
---|---|---|---|
2301.07400.pdf open access
Description: File ArXiv
Type: versione pre-print
Size 304.77 kB
Format Adobe PDF
|
304.77 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.