Dini-Type Helicoidal Hypersurfaces with Timelike Axis in Minkowski 4-Space E₁⁴<br />

• Main Authors: Erhan Güler, Ömer Kişi
• Format: Article
• Language: English
• Published: MDPI AG 2019-02-01
• Series: Mathematics
• Subjects: Minkowski 4-space; Dini-type helicoidal hypersurface; Gauss map; timelike axis
• Online Access: https://www.mdpi.com/2227-7390/7/2/205
• ISSN: 2227-7390

We consider Ulisse Dini-type helicoidal hypersurfaces with timelike axis in Minkowski 4-space <inline-formula> <math display="inline"> <semantics> <msubsup> <mi mathvariant="double-struck">E</mi> <mrow> <mn>1</mn> </mrow> <mn>4</mn> </msubsup> </semantics> </math> </inline-formula>. Calculating the Gaussian and the mean curvatures of the hypersurfaces, we demonstrate some special symmetries for the curvatures when they are flat and minimal.