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