Invariant distributions and X-ray transform for Anosov flows

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lipschitz Distributions and Anosov Flows

We show that if a distribution is locally spanned by Lipschitz vector fields and is involutive a.e., then it is uniquely integrable giving rise to a Lipschitz foliation with leaves of class C1,Lip. As a consequence, we show that every codimension-one Anosov flow on a compact manifold of dimension > 3 such that the sum of its strong distributions is Lipschitz, admits a global cross section. The ...

متن کامل

Anosov Flows and Invariant Measures in Constrained Mechanical Systems

We present conditions for hyperbolicity and existence of an invariant measure for the GMA flow of a non-linearly constrained mechanical system. The conservation of volume in the linear constrained problem corresponding to the rolling of a ball on a surface parallel to Delaunay is also considered.

متن کامل

The X-ray Transform and its Application in Nano Crystallography

In this article a review on the definition of the X- ray transform and some ofits applications in Nano crystallography is presented. We shall show that the X- raytransform is a special case of the Radon transform on homogeneous spaces when thetopological group E(n)- the Euclidean group - acts on ℝ2 transitively. First someproperties of the Radon transform are investigated then the relationship ...

متن کامل

Geometric Anosov flows of dimension five with smooth distributions

We classify the five dimensional C Anosov flows which have C-Anosov splitting and preserve a smooth pseudo-Riemannian metric . Up to a special time change and finite covers, such a flow is C flow equivalent either to the suspension of a symplectic hyperbolic automorphism of T4, or to the geodesic flow on a three dimensional hyperbolic manifold.

متن کامل

Lyapunov functions and Anosov flows

We show that if the codimension one Anosov flow Φ on a compact n-manifold M satisfies the so called condition (L), then there is a continuous Lyapunov function g : R → R, where R is the universal covering space of M , such that g strictly increases along the orbits of the lift of Φ and is constant on the leaves of the lift of the strong stable foliation of the “synchronization” (i.e. suitable r...

متن کامل

ذخیره 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: Journal of Differential Geometry

سال: 2017

ISSN: 0022-040X

DOI: 10.4310/jdg/1486522813