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math.DG2007
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…
math.DG2007★ 1 cited
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…
math.DG2007
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…