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Wiedersehen metrics and exotic involutions of Euclidean spheres
-
U Abresch
,
C Durán
Published/Copyright:
May 24, 2007
Abstract
We provide explicit, simple, geometric formulas for free involutions ρ of Euclidean spheres that are not conjugate to the antipodal involution. Therefore the quotient Sn/ρ is a manifold that is homotopically equivalent but not diffeomorphic to 
. We use these formulas for constructing explicit non-trivial elements in π1 Diff(S5) and π1 Diff(S13) and to provide explicit formulas for non-cancellation phenomena in group actions.
Received: 2005-09-12
Published Online: 2007-05-24
Published in Print: 2007-04-25
© Walter de Gruyter
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Articles in the same Issue
- Wiedersehen metrics and exotic involutions of Euclidean spheres
- Actions of symbolic dynamical systems on C*-algebras
- Irreducible SO(3) geometry in dimension five
- Unitary orbits of normal operators in von Neumann algebras
- A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates
- The Anick automorphism of free associative algebras
- The relative isoperimetric inequality in Cartan-Hadamard 3-manifolds
- The group SK2 of a biquaternion algebra
Articles in the same Issue
- Wiedersehen metrics and exotic involutions of Euclidean spheres
- Actions of symbolic dynamical systems on C*-algebras
- Irreducible SO(3) geometry in dimension five
- Unitary orbits of normal operators in von Neumann algebras
- A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates
- The Anick automorphism of free associative algebras
- The relative isoperimetric inequality in Cartan-Hadamard 3-manifolds
- The group SK2 of a biquaternion algebra
