2013•International Journal of MathematicsRequires access

HELICOIDAL SURFACES WITH PRESCRIBED CURVATURES IN Nil3

Dae Won Yoon, Dong-Soo Kim, Young Ho Kim, Jae Won Lee

Abstract

In the present paper, we study helicoidal surfaces in the 3-dimensional Heisenberg group Nil3. Also, we construct helicoidal surfaces in Nil3 with prescribed Gaussian curvature or mean curvature given by smooth functions. As the results, we classify helicoidal surfaces with constant Gaussian curvature or constant mean curvature.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Gaussian curvature, Mathematics, Mean curvature, Curvature, Constant (computer programming), Gaussian, Mathematical analysis, Surface (topology)