Combinatorial manifolds are discrete analogues of smooth manifolds, constructed from simplicial complexes or well‐behaved polyhedral pieces that satisfy local topological criteria. These structures ...

Transactions of the American Mathematical Society, Vol. 149, No. 2 (Jun., 1970), pp. 539-560 (22 pages) We here generalise the immersion and submersion theorems of Smale, Hirsch, Haefliger and Poenaru ...

Consider Riemannian manifolds M for which the sectional curvature of M and second fundamental form of the boundary B are bounded above by one in absolute value. Previously we proved that if M has ...

In the field of Differential Geometry we are concerned with Riemannian manifolds or more generally (inner) metric spaces. We are interested in the interplay between their curvature and global ...

The central objects of study in topology are spaces called manifolds, which look flat when you zoom in on them. The surface of a sphere, for instance, is a two-dimensional manifold. Topologists ...

Ciprian Manolescu, Professor of Mathematics at UCLA, presented the Myhill Lecture Series 2014-15. This 3-part lecture series was held in April 2015, and included a reception in honor of Professor ...

On the left, the schematic illustration depicts the gluing rules of the Brillouin manifold, with a half-twist operation connecting the opposing faces. On the right, the BZ is divided into 64 blocks by ...

Bartels, Bellissard (until 2021), Böhm, Courtney (2022-2023), Cuntz, Ebert, Echterhoff, Gardam (2022-2023), Gardella (until 2021), Geffen (since 2022), Hein (since ...