Results 81 to 90 of about 94,728 (213)

Adaptive filter with Riemannian manifold constraint. [PDF]

Sci Rep, 2023
Mejia J, Mederos B, Gordillo N, Ortega L.   +3 more
europepmc   +1 more source

Convexity of Domains of Riemannian Manifolds

Annals of Global Analysis and Geometry, 2002
In this paper we analyze the problem of the geodesic connectedness of subsets of Riemannian manifolds. By using variational methods, the geodesic connectedness of open domains (whose boundaries can be not differentiable and not convex) of a smooth Riemannian manifold is proved. In some cases also the convexity of the domain is obtained.
Bartolo R, Germinario A, Sánchez M
openaire   +3 more sources

A study on the combination of functional connection features and Riemannian manifold in EEG emotion recognition. [PDF]

Front Neurosci, 2023
Wu M, Ouyang R, Zhou C, Sun Z, Li F, Li P.   +5 more
europepmc   +1 more source

Uncovering shape signatures of resting-state functional connectivity by geometric deep learning on Riemannian manifold. [PDF]

Hum Brain Mapp, 2022
Dan T, Huang Z, Cai H, Lyday RG, Laurienti PJ, Wu G.   +5 more
europepmc   +1 more source

Rank and symmetry of Riemannian manifolds

Commentarii Mathematici Helvetici, 1994
Let \(M\) be a complete irreducible Riemannian manifold. A \(k\)-flat in \(M\) is a complete connected flat totally geodesic immersed submanifold in \(M\) of dimension \(k\). The rank of \(M\) is the maximal dimension \(k\) such that every geodesic in \(M\) lies in a \(k\)-flat. Examples of manifolds of rank \(k\) are locally symmetric spaces of rank \(
Eschenburg, J.-H., Olmos, C.
openaire   +3 more sources

On homogeneous Riemannian manifolds [PDF]

Duke Mathematical Journal, 1958
Ambrose, W., Singer, I. M.
openaire   +3 more sources

A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle [PDF]

, 1960
Róbert Hermann
openalex   +2 more sources

A characterization of harmonic foliations by the volume preserving property of the normal geodesic flow

International Journal of Mathematics and Mathematical Sciences, 2002
We prove that a Riemannian foliation with the flat normal connection on a Riemannian manifold is harmonic if and only if the geodesic flow on the normal bundle preserves the Riemannian volume form of the canonical metric defined by the adapted connection.
Hobum Kim
doaj   +1 more source

On the Stiefel Characteristic Classes of a Riemannian Manifold [PDF]

, 1953
Seizi Takizawa
openalex   +1 more source

On the differential geometry of tangent bundles of Riemannian manifolds [PDF]

, 1958
Shigeo Sasaki
openalex   +1 more source