The combination of Martio's, Rickman's and Väisälä's result from 1971 with Zorich's theorem from 1968 shows that the only ...

The regularity of optimal routes on sub-Riemannian manifolds has been an important open problem in sub-Riemannian geometry since the early 90s. In his thesis, FM Eero Hakavuori gives new ...

The regularity of optimal routes on sub-Riemannian manifolds has been an important open problem in sub-Riemannian geometry since the early 90s. A researcher now gives new restrictions on the shape ...

In this talk, we address a (very broadly speaking) dimension 2 version of the boundary rigidity problem for certain compact, Riemannian 3-manifolds with boundary. We present new results which show ...

Riemann Surface: A one-dimensional complex manifold that serves as the natural domain for studying holomorphic functions and forms the basis for many minimal surface constructions. Minimal Surface: ...

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.