同类推荐
-
-
微分几何与共轭曲面原理
-
¥138.00
-
-
空间-时间-物质
-
¥128.00
-
-
微分几何教学设计
-
¥89.00
-
-
几何原本
-
¥99.00
-
-
渐近几何分析:第Ⅰ部分:Part Ⅰ
-
¥199.00
-
-
带复乘椭圆曲线的岩泽理论:p进L函数:p-adic L…
-
¥59.00
-
-
几何约束系统原理手册:英文
-
¥120.00
-
-
可视化微分几何和形式:一部五幕数学正剧:a mathe…
-
¥179.80
-
-
好看的数学故事:几何与代数卷
-
¥128.00
-
-
几何的荣光2
-
¥42.80
|
|
图书信息
|
|
|
沃克流行几何学:英文
|
ISBN: | 9787560391625 |
定价: | ¥58.00 |
作者: | (西)米格尔·布拉索斯-巴斯克斯(Miguel Brozos-Vazquez)[等]著 |
出版社: | 哈尔滨工业大学出版社 |
出版时间: | 2020年11月 |
版次: | 影印版 |
开本: | 24cm |
页数: | 185页 |
中图法: | O18 |
相关供货商
供货商名称
|
库存量
|
库区
|
更新日期
|
北京人天书店有限公司
|
1
|
库区2-1/样本2-1
|
2024-04-19
|
其它供货商库存合计
|
255
|
|
2024-04-19
|
图书简介 | 本书重点对曲率的相关理论进行了研究,同时对伪黎曼几何的相关知识进行了详细介绍。全书共分八章,首先概述了基本代数和几何的概念,其次介绍了沃克结构、三维洛伦兹沃克流形、四维沃克流形、曲率张量的谱几何和厄米几何,最后介绍了特殊的沃克流形。 |
目录 | Prefacer 1 Basic Algebraic Notionsr 1.1 Introductionr 1.2 A Historical Perspective in the Algebraic Contextr 1.3 Algebraic Preliminariesr 1.3.1 Jordan Normal Formr 1.3.2 Indefinite Geometryr 1.3.3 Algebraic Curvature Tensorsr 1.3.4 Hermitian and Para-Hermitian Geometryr 1.3.5 The Jacobi and Skew Symmetric Curvature Operatorsr 1.3.6 Sectional, Ricci, Scalar, and Weyl Curvaturer 1.3.7 Curvature Decompositionsr 1.3.8 Self-Duality and Anti-Self-Duality Conditionsr 1.4 Spectral Geometry of the Curvature Operatorr 1.4.1 Osserman and Conformally Osserman Modelsr 1.4.2 Osserman Curvature Models in Signature (2, 2)r 1.4.3 Ivanov-Petrova Curvature Modelsr 1.4.4 Osserman Ivanov-Petrova Curvature Modelsr 1.4.5 Commuting Curvature Modelsr 2 Basic Geometrical Notionsr 2.1 Introductionr 2.2 Historyr 2.3 Basic Manifold Theoryr 2.3.1 The Tangent Bundle, Lie Bracket, and Lie Groupsr 2.3.2 The Cotangent Bundle and Symplectic Geometryr 2.3.3 Connections, Curvature, Geodesics, and Holonomyr 2.4 Pseudo-Riemannian Geometryr 2.4.1 The Levi-Civita Connectionr 2.4.2 Associated Natural Operatorsr 2.4.3 Weyl Scalar Invariantsr 2.4.4 Null Distributionsr 2.4.5 Pseudo-Riemannian Holonomyr 2.5 Other Geometric Structuresr 2.5.1 Pseudo-Hermitian and Para-Hermitian Structuresr 2.5.2 Hyper-Para-Hermitian Structuresr 2.5.3 Geometric Realizationsr 2.5.4 Homogeneous Spaces, and Curvature Homogeneityr 2.5.5 Technical Results in Differential Equationsr 3 Walker Structuresr 3.1 Introductionr 3.2 Historical Developmentr 3.3 Walker Coordinatesr 3.4 Examples of Walker Manifoldsr 3.4.1 Hypersurfaces with Nilpotent Shape Operatorsr 3.4.2 Locally Conformally Flat Metrics with Nilpotent Ricci Operatorr 3.4.3 Degenerate Pseudo-Riemannian Homogeneous Structuresr 3.4.4 Para-Kaehler Geometryr 3.4.5 Two-step Nilpotent Lie Groups with Degenerate Centerr 3.4.6 Conformally Symmetric Pseudo-Riemannian Metricsr 3.5 Riemannian Extensionsr 3.5.1 The Affine Categoryr 3.5.2 Twisted Riemannian Extensions Defined by Flat Connectionsr 3.5.3 Modified Riemannian Extensions Defined by Flat Connectionsr 3.5.4 Nilpotent Walker Manifoldsr 3.5.5 Osserman Riemannian Extensionsr 3.5.6 Ivanov-Petrova Riemannian Extensionsr 4 Three-Dimensional Lorentzian Walker Manifoldsr 4.1 Introductionr 4.2 Historyr 4.3 Three Dimensional Walker Geometryr 4.3.1 Adapted Coordinatesr 4.3.2 The Jordan Normal Form of the Ricci Operatorr 4.3.3 Christoffel Symbols, Curvature, and the Ricci Tensorr 4.3.4 Locally Symmetric Walker Manifoldsr 4.3.5 Einstein-Like Manifoldsr 4.3.6 The Spectral Geometry of the Curvature Tensorr 4.3.7 Curvature Commutativity Propertiesr 4.4 Local geometry of Walker manifolds with τ≠ 0r 4.4.1 Foliated Walker Manifoldsr 4.4.2 Contact Walker Manifoldsr 4.5 Strict Walker Manifoldsr 4.6 Three dimensional homogeneous Lorentzian manifoldsr 4.6.1 Three dimensional Lie groups and Lie algebrasr 4.7 Curvature Homogeneous Lorentzian Manifoldsr 4.7.1 Diagonalizable Ricci Operatorr 4.7.2 Type II Ricci Operatorr 5 Four-Dimensional Walker Manifoldsr 5.1 Introductionr 5.2 Historyr 5.3 Four-Dimensional Walker Manifoldsr 5.4 Almost Para-Hermitian Geometryr 5.4.1 Isotropic Almost Para-Hermitian Structuresr 5.4.2 Characteristic Classesr 5.4.3 Self-Dual Walker Manifoldsr 6 The Spectral Geometry of the Curvature Tensorr 6.1 Introductionr 6.2 Historyr 6.3 Four-Dimensional Osserman Metricsr 6.3.1 Osserman Metrics with DiagonalizableJacobi Operatorr 6.3.2 Osserman Walker Type II Metricsr 6.4 Osserman and Ivanov-Petrova Metricsr 6.5 Riemannian Extensions of Affine Surfacesr 6.5.1 Affine Surfaces with Skew Symmetric Ricci Tensorr 6.5.2 affine Surfaces with Symmetric and Degenerate Ricci Tensorr 6.5.3 Riemannian Extensions with Commuting Curvature Operatorsr 6.5.4 Other Examples with Commuting Curvature Operatorsr 7 Hermitian Geometryr 7.1 Introductionr 7.2 Historyr 7.3 Almost Hermitian Geometry of Walker Manifoldsr 7.3.1 The Proper Almost Hermitian Structure of a Walker Manifoldr 7.3.2 Proper Almost Hyper-Para-Hermitian Structuresr 7.4 Hermitian Walker Manifolds of Dimension Fourr 7.4.1 Proper Hermitian Walker Structuresr 7.4.2 Locally Conformally Kaehler Structuresr 7.5 Almost Kaehler Walker Four-Dimensional Manifoldsr 8 Special Walker Manifoldsr 8.1 Introductionr 8.2 Historyr 8.3 Curvature Commuting Conditionsr 8.4 Curvature Homogeneous Strict Walker Manifoldsr Bibliographyr Glossaryr Biographyr Indexr 编辑手记 |
|