For example, we assumed a liquid droplet with a surface curvature 1 /R sits on a nanowire of radius r as shown in Fig. 3d.

We develop a new and systematic method for proving entropie Ricci curvature lower bounds for Markov chains on discrete sets. Using different methods, such bounds have recently been obtained in several ...

The Total Scalar Curvature plus Total Mean Curvature functional is defined on the space of Riemannian metrics of a smooth compact manifold with boundary. We characterize its critical points restricted ...

A team of researchers working at Stanford University has used time dilation in an atomic fountain to measure the curvature of space-time. In their study, reported in the journal Science, the group ...