Also found in: Thesaurus, Encyclopedia, Wikipedia.
Related to Riemannian: Riemannian metric
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.Riemannian - of or relating to Riemann's non-Euclidean geometry
References in periodicals archive ?
Larry Guth , MIT: for ingenious and surprising solutions to long standing open problems in symplectic geometry, Riemannian geometry, harmonic analysis, and combinatorial geometry.
However, the potential advantages of altering the Euclidean metric into a more general Riemannian one or exploiting related Riemannian structures have not been systematically explored.
The advantage of the current theory proposed in this paper is that it provides an analytical approach based on Riemannian curvature, and the dynamics of gravitation mathematically represented by differential gravity calculations around the points of constant curvature.
Especially the latter class of methods is important in the context of this article as it inspired the approach discussed here though we do not use Riemannian optimization explicitly.
The Indian researchers propose a support vector machine for verifying offline signatures, a sum of application difference algorithm for military robot navigation, a Riemannian manifold learning algorithm for estimating the boundary between positive and negative images, and an active contour method for MR image segmentation of the anterior cruciate ligament (ACL).
Omori: Isometric immersions of Riemannian manifolds, J.
Let M be a connected almost contact metric manifold with an almost contact metric structure ([phi], [xi], [eta], g), that is, [phi] is a (1,1)-tensor field, [xi] is a vector field, [eta] is a one-form, and g is the compatible Riemannian metric such that
In Section 2, we give some idea about Riemannian submanifolds and Chen's inequality.
Steven Rings discusses the motivations and ideologies underlying Riemannian and one strand of neo-Riemannian analysis.
Even so, one might still wish to use a four-dimensional Riemannian manifold to represent it because of the convenience of using analytical techniques such as differentiation and integration in accounting for mechanical and dynamical phenomena.
We recall that the manifold must be Riemannian to measure distances and angles on it.