عنوان
پدید آورنده
موضوع
رده
QA649 -- O645 1983eb
QA649
--
O645
1983eb
کتابخانه
محل استقرار
شابک
شابک
0080570577
شابک
9780080570570
شماره کتابشناسی ملی
شماره
b734006
عنوان و نام پديدآور
عنوان اصلي
Semi-Riemannian Geometry With Applications to Relativity, 103.
نام عام مواد
[Book]
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Burlington :
نام ناشر، پخش کننده و غيره
Elsevier Science,
تاریخ نشرو بخش و غیره
2014.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (483 pages).
فروست
عنوان فروست
Pure and Applied Mathematics ;
مشخصه جلد
v. 103
يادداشت کلی
متن يادداشت
Reductive Homogeneous Spaces.
یادداشتهای مربوط به مندرجات
متن يادداشت
Front Cover; Semi-Riemannian Geometry: With Applications to Relativity; Copyright Page; Table of Contents; Preface; Notation and Terminology; CHAPTER 1. MANIFOLD THEORY; Smooth Manifolds; Smooth Mappings; Tangent Vectors; Differential Maps; Curves; Vector Fields; One-Forms; Submanifolds; Immersions and Submersions; Topology of Manifolds; Some Special Manifolds; Integral Curves; CHAPTER 2. TENSORS; Basic Algebra; Tensor Fields; Interpretations; Tensors at a Point; Tensor Components; Contraction; Covariant Tensors; Tensor Derivations; Symmetric Bilinear Forms; Scalar Products.
متن يادداشت
CHAPTER 3. SEMI-RIEMANNIAN MANIFOLDSIsometries; The Levi-Civita Connection; Parallel Translation; Geodesics; The Exponential Map; Curvature; Sectional Curvature; Semi-Riemannian Surfaces; Type-Changing and Metric Contraction; Frame Fields; Some Differential Operators; Ricci and Scalar Curvature; Semi-Riemannian Product Manifolds; Local Isometries; Levels of Structure; CHAPTER 4. SEMI-RIEMANNIAN SUBMANIFOLDS; Tangents and Normals; The Induced Connection; Geodesics in Submanifolds; Totally Geodesic Submanifolds; Semi-Riemannian Hypersurfaces; Hyperquadrics; The Codazzi Equation.
متن يادداشت
Energy-MomentumCollisions; An Accelerating Observer; CHAPTER 7. CONSTRUCTIONS; Deck Transformations; Orbit Manifolds; Orientability; Semi-Riemannian Coverings; Lorentz Time-Orientability; Volume Elements; Vector Bundles; Local Isometries; Matched Coverings; Warped Products; Warped Product Geodesics; Curvature of Warped Products; Semi-Riemannian Submersions; CHAPTER 8. SYMMETRY AND CONSTANT CURVATURE; Jacobi Fields; Tidal Forces; Locally Symmetric Manifolds; Isometries of Normal Neighborhoods; Symmetric Spaces; Simply Connected Space Forms; Transvections; CHAPTER 9. ISOMETRIES.
متن يادداشت
Semiorthogonal GroupsSome Isometry Groups; Time-Orientability and Space-Orientability; Linear Algebra; Space Forms; Killing Vector Fields; The Lie Algebra i(M); I(M) as Lie Group; Homogeneous Spaces; CHAPTER 10. CALCULUS OF VARIATIONS; First Variation; Second Variation; The Index Form; Conjugate Points; Local Minima and Maxima; Some Global Consequences; The Endmanifold Case; Focal Points; Applications; Variation of E; Focal Points along Null Geodesics; A Causality Theorem; CHAPTER 11. HOMOGENEOUS AND SYMMETRIC SPACES; More about Lie Groups; Bi-Invariant Metrics; Coset Manifolds.
متن يادداشت
Totally Umbilic HypersurfacesThe Normal Connection; A Congruence Theorem; Isometric Immersions; Two-Parameter Maps; CHAPTER 5. RIEMANNIAN AND LORENTZ GEOMETRY; The Gauss Lemma; Convex Open Sets; Arc Length; Riemannian Distance; Riemannian Completeness; Lorentz Causal Character; Timecones; Local Lorentz Geometry; Geodesics in Hyperquadrics; Geodesics in Surfaces; Completeness and Extendibility; CHAPTER 6. SPECIAL RELATIVITY; Newtonian Space and Time; Newtonian Space-Time; Minkowski Spacetime; Minkowski Geometry; Particles Observed; Some Relativistic Effects; Lorentz-Fitzgerald Contraction.
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry )--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been re.
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Semi-Riemannian Geometry With Applications to Relativity, 103.
شماره استاندارد بين المللي کتاب و موسيقي
9780125267403
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Calculus of tensors.
موضوع مستند نشده
Geometry, Riemannian.
موضوع مستند نشده
Manifolds (Mathematics)
موضوع مستند نشده
Relativity (Physics)
رده بندی ديویی
شماره
510
رده بندی کنگره
شماره رده
QA649
--
O645
1983eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
O'Neill, Barrett.
مبدا اصلی
تاريخ عمليات
20201216055649.0
قواعد فهرست نويسي ( بخش توصيفي )
pn
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
