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美籍专家沈忠民教授Finsler几何系列讲座
发布时间🙏🏽：2013-10-21浏览次数：
美籍专家沈忠民教授 Finsler 几何系列讲座
Spray Geometry
Lectures given at Tongji University (Nov 6-Dec 9, 2013)
By Zhongmin Shen
Indiana University-Purdue University Indianapolis
地点
意昂4娱乐四平路校区数学系
时间
11 月 6 日— 12 月 9 日
周一下午 14:00 — 16:40     致远楼 108
周三下午 14:00 — 16:40     致远楼 105
内容提要
Sprays are systems of second order differential equations with homogeneous coefficients. Every Finsler metric induces a spray. In these lectures, I will introduce and discuss several geometric quantities including S-curvature, X-curvature, H-curvature, Riemann curvature, Ricci curvature, Douglas curvature, Weyl curvature and etc. I will discuss their relationships and geometric meanings.
Lecture 1
Introduction
Lecture 2
Volume form, S-curvature
Lecture 3
X-curvature and H-curvature
Lecture 4
Berwald Connection and Curvatures
Lecture 5
Ricci Curvature and Ricci Curvature Tensors
Lecture 6
Projective Geometry of Sprays
Lecture 7
Special Sprays
Lecture 8
Exponential Maps and Some Global Problems
Seminar1
On the Laplacian of Finsler manifolds
Seminar2
Geometry of Finsler Submanifolds



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