The diffeomorphism group of a Lie foliation

The Diffeomorphism Group of a Lie Foliation

We explicitly compute the diffeomorphism group of several types of linear foliations (with dense leaves) on the torus T, n ≥ 2, namely codimension one foliations, flows, and the so-called nonquadratic foliations. We show in particular that non-quadratic foliations are rigid, in the sense that they do not admit transverse diffeomorphisms other than ±id and translations. The computation is an app...

On the Lie Algebra of a Transversally Complete Foliation

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

On the Diffeomorphism Group of S× S

The main result of this paper is that the group Diff(S×S) of diffeomorphisms S1×S2→S1×S2 has the homotopy type one would expect, namely the homotopy type of its subgroup of diffeomorphisms that take each sphere {x}×S to a sphere {y}×S by an element of the isometry group O(3) of S , where the function x,y is an isometry of S , an element of O(2) . It is not hard to see that this subgroup is home...

The Automorphism Group of a Lie Group

Introduction. The group A (G) of all continuous and open automorphisms of a locally compact topological group G may be regarded as a topological group, the topology being defined in the usual fashion from the compact and the open subsets of G (see §1). In general, this topological structure of A(G) is somewhat pathological. For instance, if G is the discretely topologized additive group of an i...