Results 91 to 100 of about 228,756 (169)

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

Analysis and Geometry in Metric Spaces
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj   +1 more source

Hessian Geometry and Phase Change of Gibbons-Hawking Metrics [PDF]

arXiv, 2018
We study the Hessian geometry of toric Gibbons-Hawking metrics and their phase change phenomena via the images of their moment maps.
arxiv  

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source

A new view of combinatorial maps by Smarandache's notion [PDF]

arXiv, 2005
On a geometrical view, the conception of map geometries are introduced, which is a nice model of the Smarandache geometries, also new kind of and more general intrinsic geometry of surface. Results convinced one that map geometries are Smarandache geometries and their enumertion are obtained.
arxiv  

Good continuation in 3D: the neurogeometry of stereo vision

Frontiers in Computer Science
Classical good continuation for image curves is based on 2D position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and by rich models of (differential) geometry.
Maria Virginia Bolelli, Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti, Steven W. Zucker   +4 more
doaj   +1 more source

Grassmannians of lines defined in the geometry of a pseudo-polarity [PDF]

arXiv, 2012
The regular point-line geometry with respect to a pseudo-polarity is introduced. It is weaker than the underlying metric-projective geometry. The automorphism group of this geometry is determined. This geometry can be also expressed as the geometry of regular lines and planes.
arxiv  

On magnetic fields and sub-Riemannian geodesics. [PDF]

The objective of this thesis is to study the effect of magnetic fields on Riemannian and Sub-Riemannian geodesics. We use the language of Differential Geometry and notions from Symplectic, Riemannian and sub-Riemannian Geometry.

core  

Metric lines in the jet space

Analysis and Geometry in Metric Spaces
In the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
doaj   +1 more source

Recognition of motor intentions from EEGs of the same upper limb by signal traceability and Riemannian geometry features. [PDF]

Front Neurosci, 2023
Zhang M, Huang J, Ni S.
europepmc   +1 more source

Smarandache Multi-Space Theory(III)--Map geometries and pseudo-plane geometries [PDF]

arXiv, 2006
A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This is the third part on multi-spaces concertrating on Smarandache geometries, including those of map ...
arxiv