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 ...

Eigenvalue problems occupy a central role in Riemannian geometry, providing profound insights into the interplay between geometry and analysis. At their core, these problems involve the study of ...

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.

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

(Nanowerk News) It is known that Albert Einstein constructed equations of general relativity by adopting Riemann geometry. In addition to the key role it played in mathematics and physics, Riemann ...

Annals of Mathematics, a distinguished journal of research papers in pure mathematics, was founded in 1884. Annals of Mathematics is published bimonthly with the cooperation of Princeton University ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics. Standing in the middle of a field, we can ...

Mathematics in the French Revolution -- Poncelet (and pole and polar) -- Theorems in projective geometry -- Poncelet's traité -- Duality and the duality controversy -- Poncelet and Chasles -- Lambert ...