Results 81 to 90 of about 10,692 (245)

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

Riemannian 4-Symmetric Spaces [PDF]

Transactions of the American Mathematical Society, 1988
The main purpose of this paper is to classify the compact simply connected Riemannian 4 4 -symmetric spaces. As homogeneous
openaire   +2 more sources

Predicting Crack Propagation in Brittle TPMS Under Uniaxial Loading: A Dual Concept Approach via Geodesic Lines and Cross‐Sectional Analysis

International Journal of Ceramic Engineering &Science, Volume 8, Issue 4, July 2026.
Cracking in brittle TPMS structures is governed by their geometry, with cracks propagating along geodesic paths determined by the initial crack orientation. Regions with small cross‐sections and abrupt area transitions identify critical damage regions and explain the differences in compressive strength among Primitive, Gyroid, Neovius, and IWP designs.
Thi Ngoc Diep Tran, Vinit Vijay Deshpande, Romana Piat   +2 more
wiley   +1 more source

Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]

, 2003
It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
core   +1 more source

The Revo‐Evo Debate in the History and Philosophy of Science

Natural Sciences, Volume 6, Issue 3, July 2026.
The paper juxtaposes revolutionary and evolutionary positions in epistemology in general as well as the history of science. While it deems the evolutionary arguments more persuasive, it also stresses the dependence of our assessment of change on the language we choose to describe the theories and positions under consideration.
Yemima Ben‐Menahem
wiley   +1 more source

Artificial intelligence‐assisted detection of epileptic spasms using electroencephalographic–video analysis

Epilepsia, Volume 67, Issue 6, Page 3009-3022, June 2026.
Abstract Objective This study was undertaken to develop and validate an artificial intelligence (AI) diagnostic tool using hybrid electroencephalographic (EEG)–video signals for automatic epileptic spasms (ES) detection. Methods This retrospective cohort study with internal cross‐validation and multicenter external validation was conducted from July ...
Lin Wan, Nan Lin, Wen Wang, Zi Liang, Yisu Dong, Haibo He, Jian Chen, Yuying Fan, Tong Liu, Hongjie Wang, Weike Cheng, Guangshuang Lu, Juan Wang, Bo Zhang, Qiang Lu, Guang Yang   +15 more
wiley   +1 more source

Application of the Fisher-Rao metric to ellipse detection

, 2007
The parameter space for the ellipses in a two dimensional image is a five dimensional manifold, where each point of the manifold corresponds to an ellipse in the image. The parameter space becomes a Riemannian manifold under a Fisher-Rao metric, which is
Stephen J. Maybank, Maybank, Stephen J.
core   +1 more source

Distribution calibration in Riemannian symmetric space [PDF]

, 2011
Distribution calibration plays an important role in cross-domain learning. However, existing distribution distance metrics are not geodesic; therefore, they cannot measure the intrinsic distance between two distributions.
Si Si, null Wei Liu, Chan, KP, Dacheng Tao, null Si Si, Liu, W, null Kwok-Ping Chan, Si, S, Kwok-ping Chan, Wei Liu, null Dacheng Tao, Tao, D   +11 more
core   +1 more source

Pythagorean Isoparametric Hypersurfaces in Riemannian and Lorentzian Space Forms

, 2022
We introduce the notion of a Pythagorean hypersurface immersed into an n+1-dimensional pseudo-Riemannian space form of constant sectional curvature c∈−1,0,1.
Cihan Özgür, Muhittin Evren Aydın, Adela Mihai   +2 more
core   +1 more source

2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi   +2 more
doaj   +1 more source