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Recent Advances in Riemannian and Lorentzian Geometries.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2003Copyright date: ©2003Edition: 1st edDescription: 1 online resource (214 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821879276
Subject(s): Genre/Form: Additional physical formats: Print version:: Recent Advances in Riemannian and Lorentzian GeometriesDDC classification:
  • 516.3/73
LOC classification:
  • QA641 -- .R43 2003eb
Online resources:
Contents:
Intro -- Contents -- Preface -- 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 for Lorentzian warped products -- Nilpotent Szabó, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds -- Jordan Szabó algebraic covariant derivative curvature tensors -- Differential topology, differential geometry, and hyperbolic operators -- Examples of conjugate loci of pseudoriemannian 2-step nilpotent lie groups with nondegenerate center -- Group invariant classification of orthogonal coordinate webs -- Spectral geometry and the Kaehler condition for Hermitian manifolds with boundary -- Energy, volume and deformation of contact metrics -- Holomorphically planar conformal vector fields on almost Hermitian manifolds -- Fundamental inequalities and strongly minimal submanifolds -- Linear perturbations of spatially locally homogeneous spacetimes -- Certain basic inequalities for submanifolds in (κ, μ) - spaces.
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Intro -- Contents -- Preface -- 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 for Lorentzian warped products -- Nilpotent Szabó, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds -- Jordan Szabó algebraic covariant derivative curvature tensors -- Differential topology, differential geometry, and hyperbolic operators -- Examples of conjugate loci of pseudoriemannian 2-step nilpotent lie groups with nondegenerate center -- Group invariant classification of orthogonal coordinate webs -- Spectral geometry and the Kaehler condition for Hermitian manifolds with boundary -- Energy, volume and deformation of contact metrics -- Holomorphically planar conformal vector fields on almost Hermitian manifolds -- Fundamental inequalities and strongly minimal submanifolds -- Linear perturbations of spatially locally homogeneous spacetimes -- Certain basic inequalities for submanifolds in (κ, μ) - spaces.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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