— Lee et al. recently published the paper “Vector field microscopic imaging of light” showing intriguing maps of vectors on the nanoscale 1. It claims the first experimental mapping of vector fields ...

In this paper, we introduce the notion of Jacobi-type vector fields on Riemannian manifolds, which is a generalization of the Jacobi field along a geodesic. We study Ricci solitons with positive Ricci ...

This is a preview. Log in through your library . Abstract It is known that regular vector-fields generate convergent discrete and continuous descent methods for minimizing functions. In this note we ...