本书是一部英文版的微分几何专著，中文书名可译为《强子的芬斯勒几何和吕拉几何（宇宙学方面）：强子结构的芬斯勒几何和吕拉几何（拓扑缺陷）》。 本书介绍一个称为强子的亚原子粒子扩展结构的芬斯勒空间，以此来发展其内部对称性。还介绍了吕拉几何的解释性说明，它是对黎曼几何的一种修正，将度规函数引入到少结构流形中。此类说明无法以任何其他形式使用。在与外尔几何非常相似的吕拉几何标架中，我们讨论了拓扑缺陷的某些物理特征，例如畴壁、宇宙弦、单极、由假定的宇宙大爆炸附近的早期宇宙中的相变产生的纹理。 本书既可以当作专著来研读，也可以当作大学生的课外读物。

Prologue
1 Finsler Space of Hadronic Matter Extension
1.1 Metric Function: Positive nth Root of a nth Order Form
1.2 Finsler Spaces
1.3 Geodesic of the Finsler Spaces
1.4 Indicatrix
1.5 Curvature Tensor
1.6 Minkowski Spacetime as a Finsler Space
1.7 Finslerian Microlooal Spaeetime
1.8 The Macrospace
1.9 Geodesic of the Microspace
References
2 Wave Equations in Finsler Space
2.1 Classical Wave Function
2.2 Quantized Space-time
2.3 Microdomain as Quantized Finsler Space
2.4 Field Equation in Finsler Space
2.5 External Electromagnetic Field
2.6 Electromagnetic Field in the Finsler Space
2.7 Electromagnetic Interaction
2.8 General Coordinate Transformation
References
3 Field Equations in the Associated Riemannian Spaces
3.1 Associated Riemannian Space
3.2 Dirac Equation in Robertson-Walker Spacetime
3.3 Homogeneous Solutions for Φ(v) and Φc (v)
3.4 Electromagnetic Interaction
References
4 Internal Symmetry of Hadrons, Hadron Fields and Interaction
4.1 Particle Mass: A Relation
4.2 The Operators Dl and their Commutation Relations
4.3 Additional Quantum Numbers of Hadron-Constituent
4.4 Internal Symmetry of Hadrons
4.5 Mesons and Baryons
4.6 Hadron Fields and States
4.7 Dynamics of Strong Interaction and S-matrix Axioms
References
5 Cosmological Consequences: Early Universe
5.1 Early Universe as a Thermodynamically Open System
5.2 Specific Entropy Per Baryon
5.3 Quantum Creation of Matter
5.4 Particle Creation after the Planck Order Time
5.5 Particles with very Large Mass
References
6 Modified General Relativity and Bulk Viscosity
6.1 Early Universe with Bulk Viscosity
6.2 Modified General Relativity
6.3 Early Universe with MGR
6.4 Mild Inflation in the Early Universe
6.5 Bulk Viscosity in the Early Universe under MGR
6.6 Causal Homogenization Condition
6.7 Cosmological Constant Problem
References
7 A Modified Riemannian Geometry: Lyra Geometry
7.1 Introduction
7.2 Foundation of Lyra Geometry
7.3 Lyra Manifold as a Modified Riemannian Manifold
7.4 Geodesics in Lyra Manifold
7.5 Curvature Tensor
7.6 DKP Field in Lyra Geometry
7.7 Spinorial Field in Lyra Geometry
7.8 Gravitational Field Equations in Lyra Geometry
References
8 Topological Defects in Lyra Geometry
8.1 Introduction
8.2 Global Monopoles
8.3 Domain Walls
8.4 Global String
8.5 Global Texture
References
Index
编辑手记