Results 41 to 50 of about 104,879 (300)

Differential geometry of collective models

AIMS Mathematics, 2019
The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
doaj   +1 more source

Curvature-torsion quasitensor of Laptev fundamental-group connection

Дифференциальная геометрия многообразий фигур, 2020
We consider a space with Laptev's fundamental group connection generalizing spaces with Cartan connections. Laptev structural equations are reduced to a simpler form.
Yu. I. Shevchenko
doaj   +1 more source

Affine Connection Representation of Gauge Fields

Advances in High Energy Physics, 2022
There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection.
Zhao-Hui Man
doaj   +1 more source

The noncommutative geometry of Yang-Mills fields

, 2010
We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes.
Atiyah, Baaj, Blackadar, Bleecker, Chamseddine, Chamseddine, Chamseddine, Connes, Connes, Connes, Dixmier, Estrada, Gilkey, Gracia-Bondia, Jord Boeijink, Kasparov, Kasparov, Kucerovsky, Mesland, Nestruev, Raeburn, Rieffel, Swan, Várilly, Walter D. van Suijlekom   +24 more
core   +1 more source

Curvature function and coarse graining [PDF]

, 2010
A classic theorem in the theory of connections on principal fiber bundles states that the evaluation of all holonomy functions gives enough information to characterize the bundle structure (among those sharing the same structure group and base manifold ...
Dubrovin B. A., Homero Díaz-Marín, José A. Zapata   +2 more
core   +1 more source

Geometry of frame bundles

Lietuvos Matematikos Rinkinys
In this article we define the canonical forms on the principal bundle of holonomic frames of order r, give structure equations for these forms and determine the connection of order r.
Kazimeras Navickis
doaj   +3 more sources

Gauge-potential approach to the kinematics of a moving car

, 1997
A kinematics of the motion of a car is reformulated in terms of the theory of gauge potentials (connection on principal bundle).
A. Guichardet, A. Shapere, A. Shapere, A. Trautman, M. Fecko, M. Fecko, M. Fecko   +6 more
core   +1 more source

The role of fibroblast growth factors in cell and cancer metabolism

FEBS Letters, EarlyView.
Fibroblast growth factor (FGF) signaling regulates crucial signaling cascades that promote cell proliferation, survival, and metabolism. Therefore, FGFs and their receptors are often dysregulated in human diseases, including cancer, to sustain proliferation and rewire metabolism.
Jessica Price, Chiara Francavilla
wiley   +1 more source

The anti‐CRISPR protein AcrIE8.1 inhibits the type I‐E CRISPR‐Cas system by directly binding to the Cascade subunit Cas11

FEBS Letters, EarlyView.
In this study, we present the structure of AcrIE8.1, a previously uncharacterized anti‐CRISPR protein that inhibits the type I‐E CRISPR‐Cas system. Through a combination of structural and biochemical analyses, we demonstrate that AcrIE8.1 directly binds to the Cas11 subunit of the Cascade complex to inhibit the CRISPR‐Cas system.
Young Woo Kang, Hyun Ho Park
wiley   +1 more source

On 2-Holonomy

, 2012
We construct a cycle in higher Hochschild homology associated to the 2-dimensional torus which represents 2-holonomy of a non-abelian gerbe in the same way the ordinary holonomy of a principal G-bundle gives rise to a cycle in ordinary Hochschild ...
Baez, Breen, Cuntz, FRIEDRICH WAGEMANN, Giraud, HOSSEIN ABBASPOUR, Loday, Loday, Neeb, Roytenberg, Schreiber, Stasheff   +11 more
core   +1 more source