Biharmonic submanifolds represent an influential area in Riemannian geometry, where the concept of harmonic maps is extended to a fourth-order setting. A submanifold is deemed biharmonic when its ...

The originator of Riemann’s hypothesis died young, but he provided the geometry needed for modern view of spacetime.

B02 Geometric evolution equations Hamilton's Ricci flow is a (weakly parabolic) geometric evolution equation, which deforms a given Riemannian metric in its most natural direction. Over the last ...