27 citations · 166 across the 27 of their papers we have counts for
4 papers · 2 filters
Basic Dolbeault cohomology and Weitzenböck frmulas on transversely Kähler foliations
Seoung Dal Jung, Ken Richardson
We study basic Dolbeault cohomology and find new Weitzenböck formulas on a transversely Kähler foliation. We investigate conditions on mean curvature and Ricci curvature that impos…
Singular Riemannian flows and characteristic numbers
Igor Prokhorenkov, Ken Richardson
Let be an even-dimensional, oriented closed manifold. We show that the restriction of a singular Riemannian flow on to a small tubular neighborhood of each connected compon…
Homotopy invariance of cohomology and signature of a riemannian foliation
Georges Habib, Ken Richardson
We prove that any smooth foliation that admits a Riemannian foliation structure has a well-defined basic signature, and this geometrically defined invariant is actually a foliated…
Riemannian flows and adiabatic limits
Georges Habib, Ken Richardson
We show the convergence properties of the eigenvalues of the Dirac operator on a spin manifold with a Riemannian flow when the metric is collapsed along the flow.