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A characterization of Pfaffian embeddings from (2, 3, 5)- into flat (4, 7)-geometries
Benjamin B. McMillan, Benjamin McMillan
Given two smooth manifolds with tangent subbundle distributions, an embedding is Pfaffian if its differential sends the distribution on the source into the distribution on the targ…
The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces
Federico Costanza, Michael Eastwood, Thomas Leistner +1
For semi-Riemannian manifolds of constant sectional curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for t…
Chern-Weil theory for Haefliger-singular foliations
Lachlan Ewen MacDonald, Benjamin McMillan
We give a Chern-Weil map for the Gel'fand-Fuks characteristic classes of Haefliger-singular foliations, those foliations defined by smooth Haefliger structures with dense regular s…