Circular tractrices and generalized Dini surfaces

TL;DR

This paper introduces a new family of two-dimensional surfaces in four-dimensional space that generalize classical Dini surfaces, expanding the understanding of surface geometry in higher dimensions.

Contribution

The work extends classical Dini surfaces to higher dimensions by defining a new family of surfaces in , providing a broader framework for studying surface geometry.

Findings

Introduction of a new family of surfaces in 

Generalization of classical Dini surfaces to higher dimensions

Potential applications in differential geometry and mathematical visualization

Abstract

We introduce a particular family of two-dimensional surfaces in $\mathbb R^4$ which generalize the classical Dini surfaces in $\mathbb R^3$.