Results 81 to 90 of about 877,125 (163)

Cartan geometry of spacetimes with a nonconstant cosmological function Lambda

, 2014
We present the geometry of spacetimes that are tangentially approximated by de Sitter spaces whose cosmological constants vary over spacetime. Cartan geometry provides one with the tools to describe manifolds that reduce to a homogeneous Klein space at ...
Jennen, Hendrik, Hendrik Jennen, Jennen, Hendrik [UNESP]   +2 more
core   +1 more source

Generalized teleparallel de Sitter geometries. [PDF]

Eur Phys J C Part Fields, 2023
Coley AA, Landry A, van den Hoogen RJ, McNutt DD.   +3 more
europepmc   +1 more source

Ways of linking geometry and algebra, the case of Geogebra

, 2007
This paper discusses ways of enhancing the teaching of mathematics through enabling learners to gain stronger links between geometry and algebra. The vehicle for this is consideration of the affordances of GeoGebra, a form of freely-available open-source
BSRLM Geometry Working Group, Jones, Keith, Hohenwarter, Markus   +2 more
core   +1 more source

Edge Modes and Dressing Fields for the Newton-Cartan Quantum Hall Effect. [PDF]

Found Phys, 2023
Wolf WJ, Read J, Teh NJ.
europepmc   +1 more source

Non-relativistic intersecting branes, Newton-Cartan geometry and AdS/CFT

Journal of High Energy Physics
We discuss non-relativistic variants of four-dimensional N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory obtained from generalised Newton-Cartan geometric limits of D3-branes in ten-dimensional spacetime. We argue that the natural interpretation of these
Neil Lambert, Joseph Smith
doaj   +1 more source

Magnetic zero-modes, vortices and Cartan geometry. [PDF]

Lett Math Phys, 2018
Ross C, Schroers BJ.
europepmc   +1 more source

Duality covariant curvatures for the heterotic string

Journal of High Energy Physics
Duality covariant curvature and torsion tensors in double field theory/generalized geometry are central in analyzing consistent truncations, generalized dualities, and related integrable σ-models.
Falk Hassler, David Osten, Yuho Sakatani
doaj   +1 more source

Riemannian geometry in an orthogonal frame

, 2001
Foreword by S S Chern. In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds.
Cartan, Elie Joseph
core  

Homogeneous Cartan geometries [PDF]

, 2007
summary:We describe invariant principal and Cartan connections on homogeneous principal bundles and show how to calculate the curvature and the holonomy; in the case of an invariant Cartan connection we give a formula for the infinitesimal automorphisms.
Hammerl, Matthias
core  

On gauge transformations in twistless torsional Newton--Cartan geometry [PDF]

We observe that in type I twistless torsional Newton--Cartan (TTNC) geometry, one can always find (at least locally) a gauge transformation that transforms a specific locally Galilei-invariant function -- that we dub the `locally Galilei-invariant ...
Schwartz, Philip K., von Blanckenburg, Arian L.   +1 more
core   +1 more source