This volume presents twenty-three selected survey articles on central topics of geometric analysis and general relativity, written by prominent experts in the fields. Topics of geometric analysis include: the Yamabe problem, mean curvature flow, minimal surfaces, harmonic maps, Ricci flow, gluing and desingularisation constructions, function theory, collapsing of manifolds, Kahler-Einstein metrics, asymptotic geometry of complete manifolds, and the geometry of Teichmuller spaces. General relativity topics include: the positive mass theorem, the Penrose inequality, scalar curvature and Einstein's constraint equations, quasi-local mass functionals, the topology of higher dimensional black holes, and the positive mass theorem for asymptotically hyperbolic manifolds.
This volume is dedicated to Richard Schoen-in honour of his contributions to both geometric analysis and general relativity. It is intended for both researchers and graduate students working in those fields.
Publisher: International Press of Boston Inc
Number of pages: 546
Weight: 560 g
Dimensions: 229 x 152 mm