2 papers
math.GT2007
On geodesic homotopies of controlled width and conjugacies in isometry groups
Gerasim Kokarev
We give an analytical proof of the Poincare-type inequalities for widths of geodesic homotopies between equivariant maps valued in Hadamard metric spaces. As an application we obta…
math.SG2006
On the topology of the evaluation map and rational curves
Gerasim Kokarev
We explore a relationship between topological properties of orbits of 2-cycles in the symplectomorphism group Symp(M) and the existence of rational curves in M. Under the absence o…