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2017-09-26  06:02 hrs.

The space of positive scalar curvature metrics

Bernhard Hanke
Institut für Mathematik der Universität Zürich


The construction and classification of Riemannian metrics satisfying certain curvature bounds are of fundamental interest in differential geometry. In this talk we specialize to metrics of positive scalar curvature, which are characterized  by a simple volume growth condition of balls with small radii. Research during the last couple of years, based on a variety of methods, revealed the topological complexity of the space of all such metrics on a fixed manifold. We will give an overview of this development.
 


 
 
 

Palapa Guillermo Torres -- Miércoles 15 de febrero de 2017, 12:00 horas


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Unidad Cuernavaca del Instituto de Matemáticas UNAM