By Krishan L. Duggal, Ramesh Sharma

This quantity covers fabric awarded by means of invited audio system on the AMS unique consultation on Riemannian and Lorentzian geometries held on the annual Joint arithmetic conferences in Baltimore. subject matters lined comprise type of curvature-related operators, curvature-homogeneous Einstein 4-manifolds, linear stability/instability singularity and hyperbolic operators of spacetimes, spectral geometry of holomorphic manifolds, minimize loci of nilpotent Lie teams, conformal geometry of virtually Hermitian manifolds, and likewise submanifolds of advanced and call areas. This quantity can function an outstanding reference resource and supply symptoms for additional study. it truly is compatible for graduate scholars and learn mathematicians attracted to differential geometry