23 citations · 29 across the 3 of their papers we have counts for
3 papers
math.DG2006★ 1 cited
An infinite family of Gromoll-Meyer spheres
C. Duran, T. Puettmann, A. Rigas
We construct a new infinite family of models of exotic 7-spheres. These models are direct generalizations of the Gromoll-Meyer sphere. From their symmetries, geodesics and submanif…
math.GT2005★ 5 cited
Wiedersehen metrics and exotic involutions of Euclidean spheres
Uwe Abresch, Carlos Duran, Thomas Puettmann +1
We provide explicit, simple, geometric formulas for free involutions rho of Euclidean spheres that are not conjugate to the antipodal involution. Therefore the quotient S^n/rho is…
math.AT2003★ 23 cited
Presentations of the first homotopy groups of the unitary groups
Thomas Puettmann, A. Rigas
We describe explicit presentations of all stable and the first nonstable homotopy groups of the unitary groups. In particular, for each n >= 2 we supply n homotopic maps that each…