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商品簡介
This fully revised and updated Second Edition of an incomparable reference/text bridges the gap between modern differential geometry and the mathematical physics of general relativity by providing an invariant treatment of Lorentzian geometry - reflecting the more complete understanding of Lorentzian geometry achieved since the publication of the previous edition.
Carefully comparing and contrasting Lorentzian geometry with Riemannian geometry throughout, Global Lorentzian Geometry, Second Edition offers a comprehensive treatment of the space-time distance function not available in other books...recent results on the general instability in the space of Lorentzian metrics for a given manifold of both geodesic completeness and geodesic incompleteness...new material on geodesic connectibility...a more in-depth explication of the behavior of the sectional curvature function in a neighborhood of a degenerate two-plane...and more.
Carefully comparing and contrasting Lorentzian geometry with Riemannian geometry throughout, Global Lorentzian Geometry, Second Edition offers a comprehensive treatment of the space-time distance function not available in other books...recent results on the general instability in the space of Lorentzian metrics for a given manifold of both geodesic completeness and geodesic incompleteness...new material on geodesic connectibility...a more in-depth explication of the behavior of the sectional curvature function in a neighborhood of a degenerate two-plane...and more.
作者簡介
John K. Beem is a Professor of Mathematics at the University of Missouri, Columbia.
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