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- University of VirginiaUS83 papers
- Instituto de Astrofísica de CanariasES76 papers
- Universidad de La LagunaES73 papers
- New Mexico State UniversityUS70 papers
- University of ArizonaUS60 papers
- The Ohio State UniversityUS58 papers
- National ObservatoryBR57 papers
- The University of Texas at AustinUS53 papers
- Centre National de la Recherche ScientifiqueFR52 papers
- Johns Hopkins UniversityUS52 papers
- Pennsylvania State UniversityUS50 papers
- University of UtahUS46 papers
20 papers · 1 filter
On the existence of a balanced vertex in geodesic nets with three boundary vertices
Duc Toan Nguyen
Geodesic nets are types of graphs in Riemannian manifolds where each edge is a geodesic segment. One important object used in the construction of geodesic nets is a balanced vertex…
A conformal characterization of manifolds of constant sectional curvature
Xiaoyang Chen, Francisco Fontenele, Frederico Xavier
A special case of the main result states that a complete -connected Riemannian manifold is isometric to one of the models , , of…
New cohomological invariants of foliations
Georges Habib, Ken Richardson
Given a smooth foliation on a closed manifold, basic forms are differential forms that can be expressed locally in terms of the transverse variables. The space of basic forms yield…
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…