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math.DG2011
On surfaces in three dimensional contact manifolds
Paul Woon Yin Lee
In this paper, we introduce two notions on a surface in a contact manifold. The first one is called degree of transversality (DOT) which measures the transversality between the tan…
math.DG2011★ 2 cited
Bishop and Laplacian Comparison Theorems on Three Dimensional Contact Subriemannian Manifolds with Symmetry
Andrei Agrachev, Paul W. Y. Lee
We prove a Bishop volume comparison theorem and a Laplacian comparison theorem for three dimensional contact subriemannian manifolds with symmetry.