On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds

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

On Some Sub-riemannian Objects in Hypersurfaces of Sub-riemannian Manifolds

We study some sub-Riemannian objects (such as horizontal connectivity, horizontal connection, horizontal tangent plane, horizontal mean curvature) in hypersurfaces of sub-Riemannian manifolds. We prove that if a connected hypersurface in a contact manifold of dimension more than three is noncharacteristic or with isolated characteristic points, then given two points, there exists at least one p...

متن کامل

On Sublaplacians of Sub-riemannian Manifolds

In this note we address a notion of sublaplacians of sub-Riemannian manifolds. In particular for fat sub-Riemannian manifolds we answered the sublaplacian question proposed by R. Montgomery in [21, p.142]

متن کامل

Mass Transportation on Sub-Riemannian Manifolds

We study the optimal transport problem in sub-Riemannian manifolds where the cost function is given by the square of the sub-Riemannian distance. Under appropriate assumptions, we generalize Brenier-McCann’s Theorem proving existence and uniqueness of the optimal transport map. We show the absolute continuity property of Wassertein geodesics, and we address the regularity issue of the optimal m...

متن کامل

Corners in Non-equiregular Sub-riemannian Manifolds

We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results of [4]. As an application of our main result we complete and simplify the analysis in [6], showing that in a 4-dimensional subRiemannian structure suggested by Agrachev and Gauthier all length-minimizing curves are smooth.

متن کامل

The Geometry of Sub-riemannian Three-manifolds

The local equivalence problem for sub-Riemannian structures on threemanifolds is solved. In the course of the solution, it is shown how to attach a canonical Riemannian metric and connection to the given sub-Riemannian metric and it is shown how all of the differential invariants of the sub-Riemannian structure can be calculated. The relation between the completeness of the sub-Riemannian metri...

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: Bulletin of the Australian Mathematical Society

سال: 2004

ISSN: 0004-9727,1755-1633

DOI: 10.1017/s0004972700034407