On the principal Ricci curvatures of a Riemannian 3-manifold

DOI10.1515/ADVGEOM-2018-0020zbMath1418.53039arXiv1508.02667OpenAlexW2963226440WikidataQ115237037 ScholiaQ115237037MaRDI QIDQ2424556

Amir Babak Aazami, Charles M. Melby-Thompson

Publication date: 25 June 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02667

zbMATH Keywords

Ricci curvatureRicci solitonsscalar-flatRiemannian 3-manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (3)

The \(\kappa\)-nullity of Riemannian manifolds and their splitting tensors ⋮ On the Einstein condition for Lorentzian 3-manifolds ⋮ Curvature and Killing vector fields on Lorentzian 3-manifolds

Cites Work

• Unnamed Item
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• Curvatures of left invariant metrics on Lie groups
• On Riemannian 3-manifolds with distinct constant Ricci eigenvalues
• 3-dimensional Riemannian metrics with prescribed Ricci principal curvatures
• The Newman-Penrose formalism for Riemannian 3-manifolds
• The Seiberg-Witten equations and the Weinstein conjecture
• Introduction to Smooth Manifolds
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• A characterization of locally homogeneous Riemann manifolds of dimension 3
• Some restrictions on algebraically general vacuum metrics
• Three-manifolds with many flat planes
• Three-manifolds with constant vector curvature
• Riemannian Geometry

This page was built for publication: On the principal Ricci curvatures of a Riemannian 3-manifold