Contemporary Mathematics 2003; 202 pp; softcover Volume: 337 ISBN10: 0821833790 ISBN13: 9780821833797 List Price: US$65 Member Price: US$52 Order Code: CONM/337
 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 curvaturerelated operators, curvaturehomogeneous Einstein 4manifolds, 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. Readership Graduate students and research mathematicians interested in differential geometry. Table of Contents  K. Abe, D. Grantcharov, and G. Grantcharov  On some complex manifolds with torus symmetry
 M. J. S. L. Ashley and S. M. Scott  Curvature singularities and abstract boundary singularity theorems for spacetime
 A. Derdzinski  Curvaturehomogeneous indefinite Einstein metrics in dimension four: The diagonalizable case
 P. E. Ehrlich, Y.T. Jung, J.S. Kim, and S.B. Kim  Jacobians and volume comparison for Lorentzian warped products
 B. Fiedler and P. Gilkey  Nilpotent Szabó, Osserman and IvanovPetrova pseudoRiemannian manifolds
 P. B. Gilkey, R. Ivanova, and I. Stavrov  Jordan Szabó algebraic covariant derivative curvature tensors
 A. D. Helfer  Differential topology, differential geometry, and hyperbolic operators
 C. Jang and P. E. Parker  Examples of conjugate loci of pseudoriemannian 2step nilpotent Lie groups with nondegenerate center
 R. G. McLenaghan, R. G. Smirnov, and D. The  Group invariant classification of orthogonal coordinate webs
 J. H. Park  Spectral geometry and the Kaehler condition for Hermitian manifolds with boundary
 P. Rukimbira  Energy, volume and deformation of contact metrics
 R. Sharma  Holomorphically planar conformal vector fields on almost Hermitian manifolds
 B. D. Suceavă  Fundamental inequalities and strongly minimal submanifolds
 M. Tanimoto  Linear perturbations of spatially locally homogeneous spacetimes
 M. M. Tripathi  Certain basic inequalities for submanifolds in \((\kappa,\mu)\)spaces
