In this book, the author's goal is to provide an introduction to some of the analytic underpinnings for the geometry of anti-self duality in 4-dimensions. Anti-self duality is rather special to 4-dimensions and the imposition of this condition on curvatures of connections on vec…
We define the class of high dimensional graph manifolds. These are compact smooth manifolds supporting a decomposition into finitely many pieces, each of which is diffeomorphic to the product of a torus with a finite volume hyperbolic manifold with toric cusps. The various piece…
Lectures on minimal surfaces
by Nitsche, Johannes C.C, Feinberg, Jerry M., Schmidt, Annelise
Metric and comparison geometry
by Grove, Karsten, Cheeger, Jeff
fromSurveys in differential geometry