Three-manifolds of constant vector curvature one

DOI10.1016/J.CRMA.2017.03.001zbMath1362.53052OpenAlexW2599874476MaRDI QIDQ524865

Benjamin Schmidt, Jon G. Wolfson

Publication date: 26 April 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.03.001

zbMATH Keywords

sectional curvatures\(\operatorname{CVC}(1)\) three-manifolds

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20)

Related Items (2)

The \(\kappa\)-nullity of Riemannian manifolds and their splitting tensors ⋮ Almost isotropic Kähler manifolds

Cites Work

• Some examples of higher rank manifolds of nonnegative curvature
• A geometric characterization of negatively curved locally symmetric spaces
• 2-frame flow dynamics and hyperbolic rank-rigidity in nonpositive curvature
• Nonpositively curved manifolds of higher rank
• Manifolds of nonpositive curvature and their buildings
• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• The higher rank rigidity theorem for manifolds with no focal points
• Complete curvature homogeneous metrics on \(\mathrm{SL}_2(\mathbb{R})\)
• The fundamental equations of a submersion
• Spherical rank rigidity and Blaschke manifolds
• On the Riemannian manifolds of the form $B\times_{f}F$
• Three-manifolds with constant vector curvature

This page was built for publication: Three-manifolds of constant vector curvature one