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 ...

We find what condition on gradient vector fields characterizes warped products, Riemannian products and round spheres. To do this we apply the theory of Jacobi equations without conjugate points to ...

Based on the probabilistic characteristics of spatial variability inferred from in-situ soil data analysis, sample functions of a stochastic vector field are then generated. Each sample function ...

The arc of the vector database story has followed a classic path: A pervasive hype cycle, followed by introspection, ...