4-dimensional c-symplectic -manifolds with non-empty fixed point set need not be c-Hamiltonian
The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
A characterization of certain branched coverings as group actions
A Characterization of the Sphere and Euclidean Space by Transformation Groups.
A classification of the topological types of -actions on closed orientable 3-manifolds
A common fixed point theorem for commuting expanding maps on nilmanifolds.
A comparison principle and extension of equivariant maps.
A complement to the theory of equivariant finiteness obstructions
It is known ([1], [2]) that a construction of equivariant finiteness obstructions leads to a family of elements of the groups . We prove that every family of elements of the groups can be realized as the family of equivariant finiteness obstructions of an appropriate finitely dominated G-complex X. As an application of this result we show the natural equivalence of the geometric construction of equivariant finiteness obstruction ([5], [6]) and equivariant generalization of Wall’s obstruction...
A Converse to the P.A. Smith Theorem for Nonunitary Homology Spheres.
A Counterexample to a Conjecture of Steenrod.
A decomposition into homeomorphic handlebodies with naturally equivalent involutions.
A dynamical approach to compactify the three dimensional Lorentz group.
A family of flat Minkowski planes admitting 3-dimensional simple groups of automorphisms.
A finiteness theorem for the burnside ring of a compact Lie group
A flat manifold with no symmetries.
A free group acting without fixed points on the rational unit sphere
A -minimal model for principal -bundles
Sullivan associated a uniquely determined to any simply connected simplicial complex . This algebra (called minimal model) contains the total (and exactly) rational homotopy information of the space . In case is the total space of a principal -bundle, ( is a compact connected Lie-group) we associate a -equivariant model , which is a collection of “-homotopic” ’s with -action. will, in general, be different from the Sullivan’s minimal model of the space . contains the total rational...
A Homology Transfer for a Class of Simplicial Maps.
A linearity theorem for group actions on spheres with applications to homotopy representations.
A Localization Theorem for Functional S1-Spaces.
A lower bound to the action dimension of a group.