Curvature free rigidity for higher rank three-manifolds

DOI10.1512/iumj.2018.67.7427zbMath1407.53041arXiv1608.04810OpenAlexW2964015676WikidataQ125349309 ScholiaQ125349309MaRDI QIDQ4962411

Samuel Lin

Publication date: 2 November 2018

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04810

zbMATH Keywords

curvature pinchingrank-rigidityfinite-volume manifoldhyperbolic (Euclidean, spherical) higher rankRicci diagonalizing frame

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Related Items (1)

Manifolds with many hyperbolic planes

Cites Work

• Positively curved manifolds with large spherical rank
• A differential geometric characterization of symmetric spaces of higher rank
• 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
• Manifolds all of whose flats are closed
• A characterization of homogeneous spaces with positive hyperbolic rank
• The higher rank rigidity theorem for manifolds with no focal points
• The nullity spaces of curvature-like tensors
• Manifolds with many hyperbolic planes
• Spherical rank rigidity and Blaschke manifolds
• Decomposition of spaces with geodesics contained in compact flats
• Three-manifolds with many flat planes
• Three-manifolds with constant vector curvature

This page was built for publication: Curvature free rigidity for higher rank three-manifolds