Rotational Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-Space with Neutral Metric

TL;DR

This paper classifies rotational surfaces with constant mean curvature in four-dimensional pseudo-Euclidean space with a neutral metric, covering elliptic, hyperbolic, and parabolic types.

Contribution

It provides a comprehensive classification of such surfaces, expanding understanding of their geometric properties in pseudo-Euclidean spaces.

Findings

Classification of elliptic, hyperbolic, and parabolic rotational surfaces with constant mean curvature.

Explicit descriptions of these surfaces in four-dimensional pseudo-Euclidean space.

Insights into the geometric structure of surfaces in neutral metric spaces.

Abstract

We give the classification of constant mean curvature rotational surfaces of elliptic, hyperbolic, and parabolic type in the four-dimensional pseudo-Euclidean space with neutral metric.