Singular surfaces of revolution with prescribed unbounded mean curvature

TL;DR

This paper provides explicit formulas for singular surfaces of revolution with unbounded mean curvature, analyzes their singularities, and discusses their periodicity, contributing to the understanding of such geometric structures.

Contribution

It introduces explicit formulas for these surfaces and establishes conditions for their singularities and periodicity, advancing the geometric analysis of surfaces with unbounded mean curvature.

Findings

Explicit formula for singular surfaces of revolution

Conditions for singularities of these surfaces

Discussion on the periodicity of the surfaces

Abstract

We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using it, we give conditions for singularities of that surfaces. Periodicity of that surface is also discussed.