Obstruction to positive curvature on homogeneous bundles

DOI10.1007/s10711-006-9054-3zbMath1094.53044arXivmath/0508394OpenAlexW2083992399MaRDI QIDQ2498428

Kristopher Tapp

Publication date: 16 August 2006

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508394

zbMATH Keywords

Riemannian submersionsectional curvatureorbit space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Unnamed Item
• Fat bundles and symplectic manifolds
• Manifolds with positive sectional curvature almost everywhere.
• Inhomogeneous spaces of positive curvature
• Curvature increasing metric variations
• Some examples of manifolds of nonnegative curvature
• Quasi-positive curvature on homogeneous bundles
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• Group-Quotients with Positive Sectional Curvatures

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