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EVERY COMPACT MANIFOLD CARRIES A COMPLETELY HYPERBOLIC DIFFEOMORPHISM
MANIFOLD CARRIES HYPERBOLIC DIFFEOMORPHISM
2015/9/29
We show that a smooth compact Riemannian manifold of dimension 2 admits
a Bernoulli di eomorphism with nonzero Lyapunov exponents.
Homomorphisms between diffeomorphism groups
Homomorphisms diffeomorphism groups Geometric Topology
2012/6/25
For r at least 3, p at least 2, we classify all actions of the groups Diff^r_c(R) and Diff^r_+(S1) by C^p -diffeomorphisms on the line and on the circle. This is the same as describing all nontrivial ...
On properly essential classical conformal diffeomorphism groups
Essential and properly essential conformal group classical conformal diffeomorphism group cohomological equation orbit of tensor field
2011/9/22
Abstract: We prove that various classical conformal diffeomorphism groups, which are known to be essential [1], are in fact properly essential. This is a consequence of a local criterion on a conforma...
The two-dimensional periodic $b$-equation on the diffeomorphism group of the torus
2D-b-equation diffeomorphism group of the torus geodesic flow sectional curvature Euler equation
2011/9/15
Abstract: We study some geometric aspects of the periodic two-dimensional Camassa-Holm equation (2D-CH) which re-expresses geodesic motion on the diffeomorphism group of the torus $\T = S^1 \times S^1...
A diffeomorphism with global dominated splitting can not be minimal
diffeomorphism global dominated splitting
2010/11/18
Let M be a closed manifold and f be a diffeomorphism on M. We show that if f has a nontrivial dominated splitting TM=E\oplus F, then f can not be minimal. The proof mainly use Mane's argument and Liao...