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 ...

On June 10, 1854, Georg Friedrich Bernhard Riemann gave his classic lecture on curved space. [‘On This Day in Space’ Video Series on Space.com] Riemann was a 19th century mathematician from Germany.

It may contain inaccuracies due to the limitations of machine translation. Bernhard Riemann (19th Century A.D.) September is the birth month (September 17) of the brilliant German mathematician Georg ...

Maximum principles lie at the heart of many profound results in Riemannian geometry, offering tools to derive rigidity, uniqueness and nonexistence theorems for geometric objects. At their core, these ...

Eigenvalue problems in Riemannian geometry lie at the intersection of analysis, topology and global geometry. At their core is the study of spectral data—eigenvalues and eigenfunctions—associated with ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...