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Geometric invariance of mass-like asymptotic invariants
Geometric invariance mass-like asymptotic invariants
2011/2/22
We study coordinate-invariance of some asymptotic invariants such as the ADM mass or the
Chruściel-Herzlich momentum, given by an integral over a “boundary at infinity”. When changing the coordi...
Centro-Affine Invariants for Smooth Convex Bodies
Centro-Affine Invariants Smooth Convex Bodies
2010/11/24
Employing a centro-affine flow on smooth convex bodies, we generate new centro-affine differential invariants. One class of the newly defined invariants is the object of a sharp isoperimetric inequali...
Connections in Poisson Geometry I: Holonomy and Invariants
Connections Poisson Geometry I Holonomy Invariants
2010/11/1
We discuss contravariant connections on Poisson manifolds. For vector bundles, the corresponding operational notion of a contravariant derivative had been introduced by Izu Vaisman. We show that thes...