課程說明(Course Description):
帶領學生研讀微分幾何的重要理論與其應用。
研讀相關論文,訓練學生思維能力。

In this course we will focus on
curvature of Riemannian manifolds,theorems in Riemannian geometry and Laplace–Beltrami operator


References:
Riemannian geometry, T. Sakai;
Topics in differential geometry,Michor, Peter W.
Jost: Riemannian Geometry and Geometric Analysis.

A prerequisite for this course is a good knowledge of undergraduate analysis and linear algebra.