New gap results on n‐dimensional static manifolds
type: Item
instance of: scholarly article
title: New gap results on n‐dimensional static manifolds
zbMATH Open document ID: 1530.53046
author: Allan G. Freitas
published in: Mathematische Nachrichten
publication date: 2023-10-17T00:00:00Z
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C24
Mathematics Subject Classification ID: 58J60
zbMATH DE Number: 7750791
zbMATH Keywords: gap results
zbMATH Keywords: static potential
zbMATH Keywords: static manifold
zbMATH Keywords: \(V\)-static manifold
zbMATH Keywords: pinching condition
MaRDI profile type: Publication
Wikidata QID: Q125989693
full work available at URL: mana.201900146
OpenAlex ID: W3203772787
cites work: On static three-manifolds with positive scalar curvature
cites work: Convergence and rigidity of manifolds under Ricci curvature bounds
cites work: Q4024257
cites work: Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary
cites work: Q3697760
cites work: Deformations of the hemisphere that increase scalar curvature
cites work: Q5678153
cites work: Scalar curvature deformation and a gluing construction for the Einstein constraint equations
cites work: Deformation of scalar curvature and volume
cites work: Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary
cites work: Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant
cites work: A note on the fundamental group of a compact minimal hypersurface
cites work: Q4460137
cites work: Four-manifolds with \(\delta W^+=0\) and Einstein constants of the sphere.
cites work: Vanishing sectional curvature on the boundary and a conjecture of Schroeder and Strake
cites work: Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant
cites work: Q3956046
cites work: Ricci curvature, geodesics and some geometric properties of Riemannian manifolds with boundary
cites work: A differential equation arising from scalar curvature function
cites work: Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
cites work: A remark about static space times
cites work: On the volume functional of compact manifolds with boundary with constant scalar curvature
cites work: Einstein and conformally flat critical metrics of the volume functional
cites work: Q4172592
cites work: On Einstein four-manifolds with \(S^1\)-actions
cites work: A note on Fischer-Marsden’s conjecture
DOI: 10.1002/MANA.201900146
description: scientific article; zbMATH DE number 7750791