Results 1 to 10 of about 480,774 (253)

On Gauss-Bonnet Curvatures [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k = 1$.
Mohammed Larbi Labbi
doaj   +6 more sources

Curvatures of smectic liquid crystals and their applications

open access: yesJournal of Information Display, 2018
Curvature is an important concept for understanding layering structures in soft matters, ranging from complex macromolecular self-assembled structures to simple lipid bilayers.
Dae Seok Kim, Dong Ki Yoon
doaj   +2 more sources

Unified theory of the anomalous and topological Hall effects with phase-space Berry curvatures [PDF]

open access: yesScience Advances, 2022
Spontaneously broken time-reversal symmetry in magnetic materials leads to a Hall response, with a nonzero voltage transverse to an applied current, even in the absence of external magnetic fields.
Nishchhal Verma   +2 more
semanticscholar   +1 more source

Geometrical Structure in a Relativistic Thermodynamical Fluid Spacetime

open access: yesAxioms, 2023
The goal of the present research paper is to study how a spacetime manifold evolves when thermal flux, thermal energy density and thermal stress are involved; such spacetime is called a thermodynamical fluid spacetime (TFS). We deal with some geometrical
Mohd. Danish Siddiqi   +3 more
doaj   +1 more source

Gradient Origami Metamaterials for Programming Out‐of‐Plane Curvatures

open access: yesAdvanced Engineering Materials, 2023
Origami structures are a traditional Japanese art that have recently found their way into engineering applications due to their powerful capability to transform flat 2D structures into complex 3D structures along their creases.
R. Hedayati   +3 more
semanticscholar   +1 more source

Highly ordered arrays of hat-shaped hierarchical nanostructures with different curvatures for sensitive SERS and plasmon-driven catalysis

open access: yesNanophotonics, 2021
Regulation of hot spots exhibits excellent potential in many applications including nanolasers, energy harvesting, sensing, and subwavelength imaging.
Chao Zhang   +9 more
semanticscholar   +1 more source

PADIŞ - A GEOMORPHOMETRIC APPROACH [PDF]

open access: yesAnalele Universităţii din Oradea: Seria Geografie, 2022
This study presents a unitary morphometric analysis for one of the most spectacular karst sectors in Romania: the closed basin Padiș – Cetățile Ponorului.
Lucian BLAGA, Grigore Vasile HERMAN
doaj   +1 more source

Normal Curves in 4-Dimensional Galilean Space G4

open access: yesFrontiers in Physics, 2021
In this article, first, we give the definition of normal curves in 4-dimensional Galilean space G4. Second, we state the necessary condition for a curve of curvatures τ(s) and σ(s) to be a normal curve in 4-dimensional Galilean space G4. Finally, we give
Safaa Mosa   +3 more
doaj   +1 more source

Nonpositivity: Curvature vs. curvature operator [PDF]

open access: yesProceedings of the American Mathematical Society, 2004
It is shown that there exist closed Riemannian manifolds M M all of whose sectional curvatures are negative, but M M does not admit any metric with nonpositive curvature operator.
Aravinda, C. S., Farrell, F. T.
openaire   +1 more source

Graph Ricci curvatures reveal atypical functional connectivity in autism spectrum disorder

open access: yesScientific Reports, 2022
While standard graph-theoretic measures have been widely used to characterize atypical resting-state functional connectivity in autism spectrum disorder (ASD), geometry-inspired network measures have not been applied. In this study, we apply Forman–Ricci
Pavithra Elumalai   +5 more
semanticscholar   +1 more source

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