Among their topics are on deformations and rigidity of the Godbillion Vey class, Thurston's h-principle for two-dimensional foliations of co-dimension greater than one, a few open problems on characteristic classes of foliations, on the global estimate of the Diederich-Fornaess index of Levi-flat real hyperspaces, homomorphisms on groups of volume-preserving diffeomorphisms
via fundamental groups, and rotation number and lifts of a Fuchsian action of the modular group on the circle.
Then the group G = O(p + 1, q + 1) acts as conformal diffeomorphisms
For the differentiable case, replace local homeomorphisms for local diffeomorphisms
This would settle this conjecture for C1 diffeomorphisms
and imply other classification results.
g](t) of the Ricci flow equation (4) is called "Ricci soliton" if there exists a positive function [phi](t) and a 1-parameter family of diffeomorphisms
[psi](t) : [bar.
These pseudoline arrangements are considered equivalent up to diffeomorphisms
that preserve the "no triple intersections" property, so the pseudoline arrangement on the left of that figure is equivalent to the one on the right, which has been deformed for clarity of drawing, and from which the background tiling has been removed.
On the regularity of the composition of diffeomorphisms
This interpretation restricts allowable diffeomorphisms
to only those preserving the four volume, but to date this has been treated as but a curious equivalent to General Relativity.
An old mathematical conjecture states that uniform global hyperbolic diffeomorphisms
on compact manifolds (which are the diffeomorphic paradigms of deterministic chaos), can only evolve under very strong topological restrictions of the space.
The topics are local holomorphic dynamics of diffeomorphisms
in dimension one, non-positive curvature and complex analysis, Virasoro algebra and dynamics in the space of univalent functions, composition operators love Toeplitz operators, and two applications of the Bergman spaces techniques.
The interesting, but restrictive, algebraic structure of the model, containing a 3-algebra with antisymmetric structure constants, turned out to have only one finite-dimensional realization [24,25], possible to interpret in terms of two M2-branes [26,27] (see, however, [28-30] dealing with the infinite-dimensional solution related to volume-preserving diffeomorphisms
in three dimensions).
Deterministic viscous hydrodynamics via stochastic processes on groups of diffeomorphisms
, Probabilistic Metohds in Fluids (I.