On properly essential classical conformal diffeomorphism groups
نویسندگان
چکیده
منابع مشابه
Diffeomorphism group and conformal fields
Conformal fields are a new class of V ect(N) modules which are more general than tensor fields. The corresponding diffeomorphism group action is constructed. Conformal fields are thus invariantly defined. PACS numbers: 02.20, 02.40
متن کاملHomomorphisms between Diffeomorphism Groups
For r ≥ 3, p ≥ 2, we classify all actions of the groups Diffc(R) and Diff+(S) by Cdiffeomorphisms on the line and on the circle. This is the same as describing all nontrivial group homomorphisms between groups of compactly supported diffeomorphisms on 1-manifolds. We show that all such actions have an elementary form, which we call topologically diagonal. As an application, we answer a question...
متن کاملMaximal prehomogeneous subspaces on classical groups
Suppose $G$ is a split connected reductive orthogonal or symplectic group over an infinite field $F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is the Lie algebra of the unipotent radical $N.$ Under the adjoint action of its stabilizer in $M,$ every maximal prehomogeneous subspaces of $frak{n}$ is determined.
متن کاملOn the Uniform Simplicity of Diffeomorphism Groups
We show the uniform simplicity of the identity component Diff(M)0 of the group of Cr diffeomorphisms Diff (Mn) (1 ≤ r ≤ ∞, r = n+1) of the compact connected n-dimensional manifold Mn with handle decomposition without handles of the middle index n/2. More precisely, for any elements f and g of such Diff(M)0 \{id}, f can be written as a product of at most 16n+28 conjugates of g or g−1, which we d...
متن کاملLivšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems
The celebrated Livšic theorem [Liv71] [Liv72a], states that given M a manifold, a Lie group G, a transitive Anosov diffeomorphism f on M and a Hölder function η : M 7→ G whose range is sufficiently close to the identity, it is sufficient for the existence of φ : M 7→ G satisfying η(x) = φ(f(x))φ(x)−1 that a condition — obviously necessary — on the cocycle generated by η restricted to periodic o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2011
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-011-9304-y