Exotic smooth structures on nonpositively curved symmetric spaces

DOI10.2140/agt.2002.2.381zbMath0998.53033arXivmath/0206291OpenAlexW2102706892MaRDI QIDQ1597786

Boris L. Okun

Publication date: 3 June 2002

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206291

zbMATH Keywords

dualitylocally symmetric spacetangential mapexotic smooth structures

Mathematics Subject Classification ID

Differential topology (57R99) Differential geometry of symmetric spaces (53C35) Differentiable structures in differential topology (57R55) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Maps between classifying spaces in algebraic topology (55R37)

Related Items (4)

Inertia groups and smooth structures on quaternionic projective spaces ⋮ Classification of smooth structures on a homotopy complex projective space ⋮ Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps. ⋮ On submanifolds in locally symmetric spaces of noncompact type

Cites Work

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• Manifolds of nonpositive curvature
• Complex hyperbolic manifolds and exotic smooth structures
• Homotopy invariant algebraic structures on topological spaces
• Rank 1 aspherical manifolds which do not support any nonpositively curved metric
• Groups of homotopy spheres. I
• Negatively Curved Manifolds with Exotic Smooth Structures
• Rigidity of lattices of non-positive curvature
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Nonzero degree tangential maps between dual symmetric spaces

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