In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

Anti-de Sitter (AdS) geometry and hyperbolic manifolds form an intricate and influential domain within modern geometry, with profound implications in both theoretical physics and pure mathematics. The ...

Physicists are exploring whether hidden dimensions and the shape of space could help explain why fundamental particles have ...

The study of eigenvalue estimates in Riemannian Geometry is a dynamic area that bridges geometric analysis and spectral theory. Eigenvalue bounds not only characterise the intrinsic geometry of ...

The masses of fundamental particles such as the Z and W bosons could have arisen from the twisted geometry of hidden ...

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 ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics. Standing in the middle of a field, we can ...

Riemannian manifolds or geodesic metric spaces of finite or infinite dimension occur in many areas of mathematics. We are interested in the interplay between their local geometry and global ...

In this article we derive Hamilton type gradient estimate and Souplet-Zhang type gradient estimate for a generalized weighted parabolic heat equation with potential on a weighted Riemannian manifold ...