Riemannian geometry offers an elegant mathematical framework for the analysis of data that naturally resides on curved spaces, particularly the manifold of symmetric positive definite (SPD) matrices.

Riemannian geometry provides the essential framework for analysing curved spaces by endowing manifolds with a smoothly varying metric. This field has enabled statisticians to extend classical ...

Bernhard Riemann was a man with a hypothesis. He was confident that it was true, probably. But he didn’t prove it. And attempts over the last century and a half by others to prove it have failed. A ...