Enlarging Riemannian Manifolds

  • Datum:


  • Referent:

    Daniel Raede

  • Zeit:


  • We study the classes of manifolds one obtains by replacing the /Hyperspherical-Radius/ with the /(rational) Filling-Radius} /or the /Urysohn k-width/ in the definition of an /enlargeable/ manifold. We explore the relationship with (rationally) essential manifolds, give some examples and prove Band/Collar width estimates in the presence of a lower macroscopic scalar curvature bound.