1985Transactions of the American Mathematical SocietyOpen access

Minimal surfaces of constant curvature in $S\sp n$

Robert L. Bryant

Open full text 72 citations

Abstract

In this note, we study an overdetermined system of partial differential equations whose solutions determine the minimal surfaces in ${S^n}$ of constant Gaussian curvature. If the Gaussian curvature is positive, the solution to the global problem was found by [

Open-access reader

About this research paper

What this paper is about

In this note, we study an overdetermined system of partial differential equations whose solutions determine the minimal surfaces in ${S^n}$ of constant Gaussian curvature. If the Gaussian curvature is positive, the solution to the global problem was found by [

Why it matters

OpenAlex reports 72 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

In this note, we study an overdetermined system of partial differential equations whose solutions determine the minimal surfaces in ${S^n}$ of constant Gaussian curvature. If the Gaussian curvature is positive, the solution to the global problem was found by [

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

Related papers

Back to paper searchBrowse research topicsOriginal source
Minimal surfaces of constant curvature in $S\sp n$ — Research Paper | ScholarLens