Results 1 to 10 of about 70,602 (222)

Connections and Curvature in sub-Riemannian geometry

, 2009
For a subRiemannian manifold and a given Riemannian extension of the metric, we define a canonical global connection. This connection coincides with both the Levi-Civita connection on Riemannian manifolds and the Tanaka-Webster connection on strictly pseudoconvex CR manifolds.
Robert K. Hladky
openaire   +4 more sources

Universality in long-distance geometry and quantum complexity. [PDF]

Nature, 2023
Brown AR, Freedman MH, Lin HW, Susskind L.   +3 more
europepmc   +1 more source

Riemannian Trust Region Method for Minimization of the Fourth Central Moment for Localized Molecular Orbitals. [PDF]

J Phys Chem A, 2023
Sepehri A, Li RR, Hoffmann MR.
europepmc   +1 more source

Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning

, 2014
F. Jean
semanticscholar   +1 more source

An Explainable Geometric-Weighted Graph Attention Network for Identifying Functional Networks Associated with Gait Impairment. [PDF]

Med Image Comput Comput Assist Interv, 2023
Nerrise F, Zhao Q, Poston KL, Pohl KM, Adeli E.   +4 more
europepmc   +1 more source

Viscosity solutions to the ∞-Laplace equation in Grushin-type spaces

Modern Mathematical Methods
In this paper, we prove the existence and uniqueness of viscosity solutions to the infinite Laplace equation in Grushin-type spaces whose tangent spaces consist of arbitrary triangular vector fields.
Thomas Bieske, Zachary Forrest
doaj  

Riemannian diffusion kernel-smoothed continuous structural connectivity on cortical surface. [PDF]

Imaging Neurosci (Camb)
Wang L, Li D, Zhang Z.
europepmc   +1 more source

Enhancing classification of a large lower-limb motor imagery EEG dataset for BCI in knee pain patients. [PDF]

Sci Data
Zuo C, Yin Y, Wang H, Zheng Z, Ma X, Yang Y, Wang J, Wang S, Huang ZG, Ye C.   +9 more
europepmc   +1 more source

Rao-Fisher information geometry and dynamics of the event-universe views distributions. [PDF]

Heliyon, 2023
Shor O, Benninger F, Khrennikov A.
europepmc   +1 more source

Comparison theorems on H-type sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ
Baudoin F, Grong E, Rizzi L, Vega-Molino S.   +3 more
europepmc   +1 more source