This volume consists of expanded versions of invited lectures given at The Beemfest: Advances in Differential Geometry and General Relativity (University of Missouri-Columbia) on the occasion of Professor John K. Beem's retirement. The articles address problems in differential geometry in general and in particular, global Lorentzian geometry, Finsler geometry, causal boundaries, Penrose's cosmic censorship hypothesis, the geometry of differential operators with variable coefficients on manifolds, and asymptotically de Sitter spacetimes satisfying Einstein's equations with positive cosmological constant.

The book is suitable for graduate students and research mathematicians interested in differential geometry.

Readership

Graduate students and research mathematicians interested in differential geometry.

Table of Contents

• P. E. Ehrlich and K. L. Easley -- A Beemian sampler: 1966-2002
• P. E. Parker -- Geometry of bicharacteristics
• L. Del Riego -- Making the right connection?
• A. Królak -- Cosmic censorship hypothesis
• S. G. Harris -- Boundaries on spacetimes: An outline
• G. J. Galloway -- Cosmological spacestimes with $\Lambda >0$
• T. Dray -- General relativity and signature change