Eigenvalue problems occupy a central role in Riemannian geometry, providing profound insights into the interplay between geometry and analysis. At their core, these problems involve the study of ...

Riemannian geometry offers an elegant mathematical framework for the analysis of data that naturally resides on curved spaces, particularly the manifold of symmetric positive definite (SPD) matrices.

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 ...

In the present paper, we study a lightlike hypersurface, when the ambient manifold is an (ε)-para Sasakian manifold endowed with a semi-symmetric non-metric connection. We obtain a condition for such ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...

We are at a critical time and supporting climate journalism is more important than ever. Science News and our parent organization, the Society for Science, need your help to strengthen environmental ...

Over the past few days, the mathematics world has been abuzz over the news that Sir Michael Atiyah, the famous Fields Medalist and Abel Prize winner, claims to have solved the Riemann hypothesis. If ...