Topological properties of Eschenburg spaces and 3-Sasakian manifolds

DOI10.1007/s00208-007-0102-6zbMath1163.53029arXivmath/0412370OpenAlexW2021279854MaRDI QIDQ2480860

Christine M. Escher, Ted Chinburg, Wolfgang Ziller

Publication date: 3 April 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412370

zbMATH Keywords

Eschenburg spaces3-Sasakian manifoldspositively curved manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Algebraic topology on manifolds and differential topology (57R19)

Related Items (13)

Smooth Structures on Eschenburg Spaces: Numerical Computations ⋮ Classifying seven dimensional manifolds of fixed cohomology type ⋮ Topological structure of candidates for positive curvature ⋮ A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces ⋮ Orbifold fibrations of Eschenburg spaces ⋮ The topology of certain 3-Sasakian 7-manifolds ⋮ Exotic \(G_2\)-manifolds ⋮ Topology of non-negatively curved manifolds ⋮ Codimension two souls and cancellation phenomena ⋮ On the topology of positively curved Bazaikin spaces ⋮ Open manifolds with non-homeomorphic positively curved souls ⋮ On the moduli spaces of metrics with nonnegative sectional curvature ⋮ Spherical T-duality. II: An infinity of spherical T-duals for non-principal \(\mathrm{SU}(2)\)-bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature
• Symmetries of Eschenburg spaces and the Chern problem
• New examples of manifolds with strictly positive curvature
• Cohomology of biquotients
• On the topology of double coset manifolds
• Homeomorphism and diffeomorphism types of Eschenburg spaces
• Strong inhomogeneity of Eschenburg spaces. Appendix A by Mark Dickinson and the author.
• Curvature properties of the positively curved Eschenburg spaces.
• Inhomogeneous spaces of positive curvature
• Higher dimensional Dedekind sums
• Nonconnected Moduli Spaces of Positive Sectional Curvature Metrics
• Homeomorphism and diffeomorphism classification of Eschenburg spaces
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• On the homotopy type of Eschenburg spaces with positive sectional curvature

This page was built for publication: Topological properties of Eschenburg spaces and 3-Sasakian manifolds