Oberseminar Differentialgeometrie: Reto Müller, Queen Mary University London, Vortrag: The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds
Monday, 01.06.2015 16:15 im Raum SR4
Abstract: A generalisation of the classical Gauss-Bonnet theorem to higher-dimensional compact Riemannian
manifolds was discovered by Chern and has been known for over fifty years. However, very little is known
about the corresponding formula for complete or singular Riemannian manifolds. In this talk, we explain a new
Chern-Gauss-Bonnet theorem for a class of 4-dimensional manifolds with finitely many conformally flat ends
and singular points. More precisely, under the assumptions of finite total Q curvature and positive scalar
curvature at the ends and at the singularities, we obtain a Chern-Gauss-Bonnet type formula with error terms
that can be expressed as isoperimetric deficits. This is joint work with Huy The Nguyen.
Angelegt am 26.03.2015 von Sandra Huppert
Geändert am 20.05.2015 von Sandra Huppert
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