Specifically, MRME-KGC simultaneously considers the fusion of four views: two hyperbolic Riemannian spaces with negative curvature, a Euclidean Riemannian space with zero curvature, and a spherical ...

The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and ... geodesic equation and curvature ...

ABSTRACT: In this paper, we deal with isommetric immersions of globally null warped product manifolds into Lorentzian manifolds with constant curvature c in codimension k≥3 . Under the assumptions ...

Due to the curvature, however ... In terms of mathematics, general relativity is based on pseudo-Riemannian geometry, which is a mathematical language capable of describing most of the typical ...

For a manifold P n with non-positive sectional curvature, there exists a unique local minimum; however, there is no closed-form expression to compute the mean. Therefore, iterative optimization ...

We also explain why these results are depending on the structure constants appearing in the Vessiot structure equations (1903), still not acknowledged after more than one century, though they ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

A Riemannian surface with positive curvature effectively tunes sluggish Li + desolvation and reduces the energy barrier for charge transfer at low temperatures.