Recent Advances in Riemannian and Lorentzian Geometries
American Mathematical Society (Verlag)
978-0-8218-3379-7 (ISBN)
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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 by K. Abe, D. Grantcharov, and G. Grantcharov Curvature singularities and abstract boundary singularity theorems for space-time by M. J. S. L. Ashley and S. M. Scott Curvature-homogeneous indefinite Einstein metrics in dimension four: The diagonalizable case by A. Derdzinski Jacobians and volume comparison for Lorentzian warped products by P. E. Ehrlich, Y.-T. Jung, J.-S. Kim, and S.-B. Kim Nilpotent Szabo, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds by B. Fiedler and P. Gilkey Jordan Szabo algebraic covariant derivative curvature tensors by P. B. Gilkey, R. Ivanova, and I. Stavrov Differential topology, differential geometry, and hyperbolic operators by A. D. Helfer Examples of conjugate loci of pseudoriemannian 2-step nilpotent Lie groups with nondegenerate center by C. Jang and P. E. Parker Group invariant classification of orthogonal coordinate webs by R. G. McLenaghan, R. G. Smirnov, and D. The Spectral geometry and the Kaehler condition for Hermitian manifolds with boundary by J. H. Park Energy, volume and deformation of contact metrics by P. Rukimbira Holomorphically planar conformal vector fields on almost Hermitian manifolds by R. Sharma Fundamental inequalities and strongly minimal submanifolds by B. D. Suceava Linear perturbations of spatially locally homogeneous spacetimes by M. Tanimoto Certain basic inequalities for submanifolds in $(/kappa, /mu)$-spaces by M. M. Tripathi.
| Erscheint lt. Verlag | 1.2.2004 |
|---|---|
| Reihe/Serie | Contemporary Mathematics |
| Zusatzinfo | Illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 387 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-8218-3379-0 / 0821833790 |
| ISBN-13 | 978-0-8218-3379-7 / 9780821833797 |
| Zustand | Neuware |
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