1 citations · 1 across the 4 of their papers we have counts for
4 papers
On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds
Kang-Hai Tan, Xiao-Ping Yang
We study some sub-Riemannian objects (such as horizontal connectivity, horizontal connection, horizontal tangent plane, horizontal mean curvature) in hypersurfaces of sub-Riemannia…
Sobolev classes and horizontal energy minimizers between Carnot-Carathéodory spaces
Kang-Hai Tan
The notion of horizontal energy minimizers between C-C spaces is introduced. We prove existence of such energy minimizers when the domain is a , noncharacteristic bounded op…
On sublaplacians of sub-Riemannian manifolds
Kang-Hai Tan
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. M…
Convex Functions on Sub-Riemannian Manifolds. I
Kang-Hai Tan
We find a different approach to define convex functions in the sub-Riemannian setting. A function on a sub-Riemannian manifold is nonholonomically geodesic convex if its restrictio…