对某些黎曼-芬斯勒空间变换的研究:芬斯勒几何中的某些变换(英文)
1星价
¥26.6
(7.0折)
2星价¥26.6
定价¥38.0
暂无评论
图文详情
- ISBN:9787576701197
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 开本:其他
- 页数:171
- 出版时间:2022-07-01
- 条形码:9787576701197 ; 978-7-5767-0119-7
内容简介
本书是一部有别于古典微分几何(苏步青先生研究的那些)的近代微分几何专著。本书的目标是研究黎曼一芬斯勒空间的某些变换比如,兰德斯空间可以看作是黎曼空间的变形。对更一般的情况而言,具有(α,β)一度量的芬斯勒空间可被视为黎曼空间的变形.为避免引用之前的黎曼一芬斯勒几何的知识,我们有了第1章,其中包含了有关黎曼一芬斯勒几何的概念和结果,在本书的其余部分中也使用了这些概念和结果。
目录
Preface
1 Introduction
1.1 Historical Development of Finsler Geometry
1.2 The Geometry of Finsler Spaces
1.3 Review of Literature about Finsler Geometry
1.4 Connections and Covariant Differentiations
1.5 Flag curvature and S-curvature in Finsler geometry
1.6 Some special Finsler spaces
1.7 KCC theory
1.8 Mathematical Cosmology in Finslerian space-time
2 On Finsler space with a special (α, β)-metric
2.1 Introduction
2.2 The condition to be a Berwald space
2.3 The condition to be a Douglas space
2.4 The condition to be a Weakly-Berwald space
3 On Randers change of a Finsler space with m-th root metric
3.1 Introduction
3.2 Preliminaries
3.3 Fundamental metric tensor of Randers transformed m-th root metric
3.4 Spray coefficients of Randers transformed m-th root metric
3.5 Conformally related Randers transformed m-th root metric
3.6 Locally dually flatness of Randers transformed m-th root metric
4 On Conformal Transformation of m-th root Finsler metric
4.1 Introduction
4.2 Preliminaries
4.3 Fundamental tensor and Spray coefficients of conformally trans-formed m-th root metric
4.4 Locally dually flat conformally transformed m-th root metric
4.5 Conformally transformed Einstein m-th root metric
4.6 Conformally transformed m-th root metric with Isotropic E-curvature
5 Transformation of a Finsler Space by Normalised Semi-Parallel Vector Fields
5.1 Introduction
5.2 Transformed Finsler space obtained by Normalised semi-parallel vector fields
5.3 Special Finsler spaces with semi-parallel vector fields
6 Predator-prey model with prey refuges: Jacobi stability vs Linear stability
6.1 Introduction
6.2 Preliminary
6.3 Applications of geometric theory to second order system
6.4 Mathematical models
6.5 Numerical simulations and discussion
6.6 Conclusions
7 Finsler-Randers Cosmological models in Modified Gravity Theories
7.1 Introduction
7.2 Finsler-Randers Cosmological Model in Einstein Theory
7.3 Fiusler-Randers cosmological model in Lyra geometry
7.4 Finsler-Randers Cosmological Model in General Class of Scalar-tensor theory
7.5 Finsler-Randers Cosmological Model in C-field theory
7.6 Conclusions
Bibliography
编辑手记
展开全部
本类五星书
本类畅销
-
昆虫的生存之道
¥12.2¥38.0 -
假设的世界:一切不能想当然
¥17.1¥45.0 -
宇宙与人
¥11.2¥35.0 -
时间简史-普及版
¥22.0¥38.0 -
古文诗词中的地球与环境事件
¥9.0¥28.0 -
东京文艺地图(九品)
¥12.2¥38.0 -
130种美鸟彩图馆
¥21.1¥39.8 -
了不起的昆虫(八品)
¥14.9¥45.0 -
造就适者——DNA和进化的有力证据
¥27.0¥55.0 -
现代物理学的概念和理论
¥20.4¥68.0 -
明清科技史料丛考
¥12.0¥28.0 -
DK有趣的学习:有趣的生物——生命是什么
¥11.3¥29.8 -
世纪幽灵-走近量子纠缠
¥10.4¥28.0 -
技术思考-技术哲学的基础
¥6.7¥21.0 -
李先闻自述-20世纪中国科学口述史
¥14.7¥46.0 -
数学的魅力;初等数学概念演绎
¥7.0¥22.0 -
科学与现代性:整体科学理论
¥14.2¥33.0 -
图说相对论(32开平装)
¥14.7¥46.0 -
地球的理论
¥12.4¥22.5 -
递归求解
¥9.0¥28.0