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math.DG2023
Hard Lefschetz property for -actions
JosÉ Ignacio Royo Prieto, Martintxo Saralegi-Aranguren, Robert Wolak
The Hard Lefschetz Property (HLP) has recently been formulated in the context of isometric flows without singularities on manifolds. In this category, two versions of the HLP (tran…
math.DG2012
Tenseness of Riemannian flows
Hiraku Nozawa, José Ignacio Royo Prieto
We show that any transversally complete Riemannian foliation F of dimension one on any possibly non-compact manifold M is tense; namely, (M,F) admits a Riemannian metric such that…
math.DG2005
Top dimensional group of the basic intersection cohomology for singular riemannian foliations
J. I. Royo Prieto, M. Saralegi-Aranguren, R. Wolak
It is known that, for a regular riemannian foliation on a compact manifold, the properties of its basic cohomology (non-vanishing of the top-dimensional group and Poincaré Duality)…