| Document Type
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BL
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| Record Number
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850334
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| Main Entry
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Lee, Dan A.,1978-
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| Title & Author
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Geometric relativity /\ Dan A. Lee.
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| Publication Statement
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Providence, Rhode Island :: American Mathematical Society,, [2019]
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| Series Statement
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Graduate studies in mathematics ;; 201
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| Page. NO
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1 online resource (xii, 361 pages)
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| ISBN
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147045405X
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: 9781470454050
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147045081X
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9781470450816
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Abstract
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Many problems in general relativity are essentially geometric in nature, in the sense that they can be understood in terms of Riemannian geometry and partial differential equations. This book is centered around the study of mass in general relativity using the techniques of geometric analysis. Specifically, it provides a comprehensive treatment of the positive mass theorem and closely related results, such as the Penrose inequality, drawing on a variety of tools used in this area of research, including minimal hypersurfaces, conformal geometry, inverse mean curvature flow, conformal flow, spin.
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| Subject
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Differential equations, Partial.
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| Subject
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General relativity (Physics)-- Mathematics.
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| Subject
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Geometry, Riemannian.
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| Subject
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Differential equations, Partial.
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| Subject
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Differential geometry-- Global differential geometry-- Applications to physics.
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| Subject
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Differential geometry-- Global differential geometry-- Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
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| Subject
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Differential geometry-- Global differential geometry-- Global Riemannian geometry, including pinching.
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Differential geometry-- Global differential geometry-- Lorentz manifolds, manifolds with indefinite metrics.
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Differential geometry-- Global differential geometry-- Methods of Riemannian geometry, including PDE methods; curvature restrictions.
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Differential geometry-- Global differential geometry-- Rigidity results.
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Differential geometry-- Global differential geometry-- Spin and Spin$.
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| Subject
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Differential geometry-- Instructional exposition (textbooks, tutorial papers, etc.)
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| Subject
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General relativity (Physics)-- Mathematics.
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| Subject
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Geometry, Riemannian.
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| Subject
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Relativity and gravitational theory-- General relativity-- Black holes.
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| Subject
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Relativity and gravitational theory-- General relativity-- Einstein's equations (general structure, canonical formalism, Cauchy problems)
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| Dewey Classification
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530.1101/516373
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| LC Classification
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QC173.6.L44 2019eb
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