Global Riemannian Geometry: Curvature and Topology

Frontmatter

Distance Geometric Analysis on Manifolds

Abstract

It is a natural and indeed a classical question to ask: “What is the effective resistance of, say, a hyperboloid or a helicoid if the surface is made of a homogeneous conducting material?”.

Steen Markvorsen

The Dirac Operator in Geometry and Physics

Abstract

The theme of these notes is centered around the use of the Dirac operator in geometry and physics, with the main focus on scalar curvature, Gromov’s K-area and positive mass theorems in General Relativity.

Maung Min-Oo

Backmatter