Riemannian optimisation leverages the geometry of smooth manifolds to reformulate and solve constrained optimisation problems as if they were unconstrained. By utilising techniques such as Riemannian ...

It is studied a 3-dimensional Riemannian manifold equipped with a tensor structure of type (1; 1), whose third power is the identity. This structure has a circulant matrix with respect to some basis, ...

Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, Nouvelle Série, Vol. 52 (100), No. 3 (2009), pp. 271-279 (9 pages) In the setting of a closed Riemannian manifold endowed ...

Eigenvalue problems on Riemannian manifolds lie at the heart of modern geometric analysis, bridging the gap between differential geometry and partial differential equations. In this framework, the ...

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 of ...

A classical question in Riemannian geometry is to ask “from what geometric information about the Riemannian manifold can one determine the metric?”. For 2-dimensional, compact, simple manifolds with ...

The Manifold Clock Kickstarter project embraces the mathematical concept of Riemann surfaces to create an artsy 3D timepiece that expresses time through shape and movement. Freelance writer Amanda C.

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 restrictions ...