Meridian Surface of Weingarten Type in 4-dimensional Euclidean Space E⁴

2013/05/14 by Günay Öztürk, Betül Bulca, Ozturk, Gunay +5
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1305.3155

Abstract

In this paper, we study meridian surfaces of Weingarten type in Euclidean 4-space E⁴. We give the neccessary and sufficient conditions for a meridian surface in E⁴ to become Weingarten type.

Related

• Semi-parallel Meridian Surfaces in E⁴
• Weingarten map of the hypersurface in 4-dimensional Euclidean space and its applications
• Timelike Meridian Surfaces of Elliptic type in the Minkowski 4-Space
• Surface Pencils in Euclidean 4-space 𝔼⁴
• Realization of HCMU metrics in 3-dimensional space forms as Weingarten surfaces