Results 111 to 120 of about 33,123 (219)

Dilatation structures in sub-riemannian geometry

, 2007
Based on the notion of dilatation structure arXiv:math/0608536, we give an intrinsic treatment to sub-riemannian geometry, started in the paper arXiv:0706.3644 . Here we prove that regular sub-riemannian manifolds admit dilatation structures. From the existence of normal frames proved by Bellaiche we deduce the rest of the properties of regular sub ...
openaire   +2 more sources

Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]

Entropy (Basel), 2023
Feng Q, Li W.
europepmc   +1 more source

Singularities in sub-Riemannian geometry

, 2018
We investigate the relationship between features of of sub-Riemannian geometry and an array of singularities that typically arise in this context.With sub-Riemannian Whitney theorems, we ensure the existence of global extensions of horizontal curves defined on closed set by requiring a non-singularity hypothesis on the endpoint-map of the nilpotent ...
openaire   +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

On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds

, 2020
Davide Barilari, Ugo Boscain, Daniele Cannarsa   +2 more
openalex   +2 more sources

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

On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards

, 2006
Daniel Genin, Serge Tabachnikov
openalex   +2 more sources

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

Erratum: Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer [Phys. Rev. A65, 032301 (2002)] [PDF]

, 2005
Navin Khaneja, Steffen J. Glaser, R. Brockett   +2 more
openalex   +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
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