19 citations · 41 across the 11 of their papers we have counts for
12 papers
The topology of quaternionic contact manifolds
Robert K. Hladky
We explore the consequences of curvature and torsion on the topology of quaternionic contact manifolds with integrable vertical distribution. We prove a general Myers theorem and e…
Non-compactness of the Neumann operator for the Kohn Laplacian on the Heisenberg ball
Robert K. Hladky
For , we provide explicit examples to demonstrate non-compactness of the Neumann operator for the Kohn Laplacian acting on -forms on the unit ball in…
Intrinsic complements of equiregular sub-Riemannian manifolds
Robert K. Hladky
Under a nondegeneracy condition, we show that an equiregular sub-Riemannian manifold of step size admits a canonical, -rigid complement defined from the sub-Riemannian data…
Isometries of complemented subRiemannian manifolds
Robert K. Hladky
We show that the group of smooth isometries of a complemented sub-Riemannian manifold form a Lie group and establish dimension estimates based on the torsion of the canonical conne…
Bounds for the first eigenvalue of the horizontal Laplacian in positively curved sub-Riemannian manifolds
Robert K. Hladky
We establish lower bounds for the first non-zero eigenvalue for the natural geometric sub-elliptic Laplacian operator defined on sub-Riemannian manifolds of step 2 that satisfy a p…
Connections and Curvature in sub-Riemannian geometry
Robert K. Hladky
For a subRiemannian manifold and a given Riemannian extension of the metric, we define a canonical global connection. This connection coincides with both the Levi-Civita connection…