Results 31 to 40 of about 5,433 (284)

he deformation pseudotensor of connections in cocongruence K (n - m)m

Дифференциальная геометрия многообразий фигур, 2023
The Grassmann manifold is the set of all -dimensional planes of an -dimensional projective space, with dim. One of the submanifolds of the Grassmann manifold is a complex of -planes if the dimension of the complex exceeds the difference .
O. O. Belova
doaj   +1 more source

Weyl-ambient geometries

Nuclear Physics B, 2023
Weyl geometry is a natural extension of conformal geometry with Weyl covariance mediated by a Weyl connection. We generalize the Fefferman-Graham (FG) ambient construction for conformal manifolds to a corresponding construction for Weyl manifolds.
Weizhen Jia, Manthos Karydas, Robert G. Leigh   +2 more
doaj   +1 more source

Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
doaj   +1 more source

Exotic spheres’ metrics and solutions via Kaluza-Klein techniques

Journal of High Energy Physics, 2023
By applying an inverse Kaluza-Klein procedure, we provide explicit coordinate expressions for Riemannian metrics on two homeomorphic but not diffeomorphic spheres in seven dimensions.
T. Schettini Gherardini
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

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

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

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
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