Curvature properties of exotic spheres
(Difference between revisions)
Line 26: | Line 26: | ||
Given an exotic sphere, are there Riemannian metrics which fulfil specific positivity criteria? | Given an exotic sphere, are there Riemannian metrics which fulfil specific positivity criteria? | ||
− | == Homotopy spheres with positive [[Wikipedia: | + | == Homotopy spheres with positive [[Wikipedia:Scalar_curvature|sectional curvature]] == |
== Homotopy spheres with positive [[Ricci curvature]] == | == Homotopy spheres with positive [[Ricci curvature]] == |
Revision as of 14:20, 7 June 2010
The user responsible for this page is Joachim. No other user may edit this page at present. |
This page has not been refereed. The information given here might be incomplete or provisional. |
1 Introduction
This page is in the construction process!!!
A homotopy sphere of dimension is an oriented closed smooth manifold which is homotopy equivalent to the standard sphere . A homotopy sphere is called an exotic sphere if it not diffeoemorphic to a standard sphere. General information about homotopy spheres (and exotic spheres) is given on Exotic spheres.
One prominent question concerning the geometry of exotic spheres is: Given an exotic sphere, are there Riemannian metrics which fulfil specific positivity criteria?