vix.ing · top · new · best · stats · spec

3-dimensional complete vacuum static spaces

2023/07/12 by Qing-Ming Cheng, Cheng, Qing-Ming, Guoxin Wei +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Aerospace Engineering and Energy Systems #Differential Geometry (math.DG) #FOS: Mathematics #Fixed Point Theorems Analysis

paper · pdf · doi:10.48550/arxiv.2307.05989

openalex publication_date 2023/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study complete Vacuum Static Spaces. A complete classification of 3-dimensional complete Vacuum Static Spaces with non-negative scalar curvature and constant squared norm of Ricci curvature tensor is given by making use of the generalized maximum principle.

Related