Weingarten Map of the Henneberg-Type Minimal Surfaces in 4-Space

Abstract

We consider a two parameter family of Henneberg-type minimal surfaces H<inf>m,n</inf> using the Weierstrass representation in the four dimensional Euclidean space E4. An invariant linear map of Weingarten type in the tangent space of the Henneberg-type minimal surface H<inf>4,2</inf> which generates two invariants ? and ?, is characterized by ?2 = ? in E4. © 2024 Elsevier B.V., All rights reserved.