They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more generally on a geodesic metric space, one investigates geometric and analytic ...

In this section, we give a brief review of several parity-violating gravities. We first present the most classical and the simplest parity-violating gravity in the Riemannian geometric framework, ...

Nature Research Intelligence Topics enable transformational understanding and discovery in research by categorising any document into meaningful, accessible topics. Read this blog to understand ...

Specifically, it can compute the Riemannian metric tensor of the latent space of the generator, pulling back certain image distance function (e.g. LPIPS). Then the eigen structure of the metric tensor ...

The Centre for Geometry, Analysis and Gravitation is a world-leading multidisciplinary research centre on geometric analysis, partial differential equations, topology and all aspects of gravitation.

Riemannian geometry-based classification (RGBC) gained popularity in the field of brain-computer interfaces (BCIs) lately, due to its ability to deal with non-stationarities arising in ...