Simple matrix expressions for the curvatures of Grassmannian

Zehua Lai, Lek-Heng Lim, Ke Ye

We show that modeling a Grassmannian as symmetric orthogonal matrices $\operatorname{Gr}(k,\mathbb{R}^n) \cong\{Q \in \mathbb{R}^{n \times n} : Q^{\scriptscriptstyle\mathsf{T}} Q =…