Recent Advances in Riemannian and Lorentzian Geometries

This volume covers the proceedings of a special session “Recent advances in Riemannian and Lorentzian geometries” of the annual meeting of American Mathematical Society, held at Baltimore, January 15-18, 2003. The speakers presented their research on Riemannian, Lorentzian, and pseudo-Riemannian manifolds.The topics covered included classification of curvature-related operators, curvature-homogeneous Einstein 4-manifolds, linear stability/instability, singularity and hyperbolic operators of spacetimes, spectral geometry, cut loci of nilpotent Lie groups, conformal geometry of almost Hermitian manifolds and also submanifolds of complex and contact submanifolds.This special session presented a great setting for differential geometers to interact among themselves and to expose the interplay/exchange between Riemannian and Lorentzian geometries. All the topics published in this volume were formally refereed.This volume can serve as a good reference source and provide indications for further research. It is suitable for graduate students and research mathematicians interested in differential geometry.