Results 121 to 130 of about 320,618 (278)

Adaptive filter with Riemannian manifold constraint. [PDF]

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

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

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

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Sub-Manifolds of a Locally Product Riemannian Manifold

, 1968
In this paper, we have obtained the conditions that a sub-manifold of a locally product Riemannian manifold may also be locally product. Generalizations of the equations of Gauss, Mainardi-Codazzi and Ricci have been obtained for the locally product sub ...
R. S. Mishra
core   +1 more source

Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables [PDF]

, 2011
We prove weak laws of large numbers and central limit theorems of Lindeberg type for empirical centres of mass (empirical Fréchet means) of independent nonidentically distributed random variables taking values in Riemannian manifolds.
Huiling Le, Wilfrid S. Kendall, Kendall, W. S., Le, Huiling   +3 more
core   +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

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Dimensionality Reduction of SPD Data Based on Riemannian Manifold Tangent Spaces and Isometry. [PDF]

Entropy (Basel), 2021
Gao W, Ma Z, Gan W, Liu S.
europepmc   +1 more source

Combinatorial zeta functions counting triangles

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard, Yann Chaubet, Nguyen Viet Dang, Thomas Schick   +3 more
wiley   +1 more source