課程說明(Course Description):
帶領學生研讀幾何調和型式的重要問題、理論與其應用。
研讀相關論文,訓練學生思維能力。

a. Basic propertyies of differntial forms.
b. The De Rham and Frobenius theorems.
c. Laplacians and harmonic forms on manifolds.

References:
Warner: Foundations of Differential Manifolds and Lie Groups.
Bott, R. and Tu, W.: Differential forms in Algebraic Topology. Springer
Kobayashi, S and Nomizu, K.: Foundations of Differential Geomety I and II