Recent Advances in Riemannian and Lorentzian Geometries
The proceedings of a session at the annual American Mathematical Society meeting in Baltimore, January 2003, contains 15 papers on the classification of curvature-related operators, curvature-homogeneous Einstein 4-manifolds, linear stability and instability, singularity and hyperbolic operators of
This volume covers material presented by invited speakers at the AMS special session on Riemannian and Lorentzian geometries held at the annual Joint Mathematics Meetings in Baltimore. Topics covered include classification of curvature-related operators, curvature-homogeneous Einstein 4-manifolds, linear stability/instability singularity and hyperbolic operators of spacetimes, spectral geometry of holomorphic manifolds, cut loci of nilpotent Lie groups, conformal geometry of almost Hermitian manifolds, and also submanifolds of complex and contact spaces. 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.
On some complex manifolds with torus symmetry; Curvature singularities and abstract boundary singularity theorems for space-time; Curvature-homogeneous indefinite Einstein metrics in dimension four: The diagonalizable case; Jacobians and volume comparison