23 citations · 29 across the 4 of their papers we have counts for
4 papers
Equivariant homotopy and deformations of diffeomorphisms
C. E. Durán, A. Rigas
We present a way of constructing and deforming diffeomorphisms of manifolds endowed with a Lie group action. This is applied to the study of exotic diffeomorphisms and involutions…
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…
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…
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…