Results 71 to 80 of about 135,026 (217)

Equivariant holonomy of U(1)-bundles

, 2019
We define the equivariant holonomy of an invariant connection on a principal U(1)-bundle. The properties of the ordinary holonomy are generalized to the equivariant setting.
Perez, Roberto Ferreiro
core   +1 more source

Invariant Yang-Mills connections over Non-Reductive Pseudo-Riemannian Homogeneous Spaces

, 2008
We study invariant gauge fields over the 4-dimensional non-reductive pseudo-Riemannian homogeneous spaces G/K recently classified by Fels & Renner (2006).
The, Dennis
core   +2 more sources

Pseudo-Sasakian manifolds endowed with a contact conformal connection

International Journal of Mathematics and Mathematical Sciences, 1986
Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined.
Vladislav V. Goldberg, Radu Rosca
doaj   +1 more source

Hierarchy of spaces of projective connection

Дифференциальная геометрия многообразий фигур, 2018
We consider the bundle of projective frames over a smooth manifold, i. e. the principal bundle whose typical fiber is the projective group. The giving fundamental-group connection in this bundle transforms it into a space of general projective connection.
Yu. Shevchenko
doaj  

Simultaneity and generalized connections in general relativity

, 2003
Stationary extended frames in general relativity are considered. The requirement of stationarity allows to treat the spacetime as a principal fiber bundle over the one-dimensional group of time translations. Over this bundle a connection form establishes
Abramowicz M A, Anandan J, Anderson S J R, Ashtekar A, Coisson R, E Minguzzi, Ellis G F R, Grøn Ø, Gödel K, Hawking S W, Klauber R, Kobayashi S, Landau L D, Malament D, Mangiarotti L, Michor P W, Minguzzi E, Minguzzi E, Märzke R F, Møller C, Poincaré H, Poincaré H, Robb A A, Sagnac M G, Sagnac M G, Sakurai J J, Semon M D, Stedman G E, Steenrod N, Strauss M, Weber T A, Will C M, Wu T T   +32 more
core   +1 more source

Defining the mobility range of a hinge-type connection using molecular dynamics and metadynamics.

PLoS ONE, 2020
A designed disulfide-rich β-hairpin peptide that dimerizes spontaneously served as a hinge-type connection between proteins. Here, we analyze the range of dynamics of this hinge dimer with the aim of proposing new applications for the DNA-encodable ...
Philip Horx, Armin Geyer
doaj   +1 more source

On semistable principal bundles over a complex projective manifold, II

, 2008
Let (X, \omega) be a compact connected Kaehler manifold of complex dimension d and E_G a holomorphic principal G-bundle on X, where G is a connected reductive linear algebraic group defined over C. Let Z (G) denote the center of G.
A. Ramanathan, A. Ramanathan, B. Anchouche, C.T. Simpson, F.A. Bogomolov, G.D. Mostow, I. Biswas, Indranil Biswas, J.-P. Demailly, K. Uhlenbeck, M.F. Atiyah, S. Ramanan, S.K. Donaldson, Ugo Bruzzo   +13 more
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About an analogue of Neifeld’s connection on the space of centred planes with one-index basic-fibre forms

Дифференциальная геометрия многообразий фигур, 2019
This research is realized by Cartan — Laptev method (with prolonga­tions and scopes, moving frame and exterior forms). In this paper we con­sider a space П of centered m-planes (a space of all centered planes of the dimension m). This space is considered
Е. Belova, O. Belova
doaj   +1 more source

General Relativity with a Positive Cosmological Constant Λ as a Gauge Theory

Axioms, 2019
In this paper, we show that the general relativity action (and Lagrangian) in recent Einstein⁻Palatini formulation is equivalent in four dimensions to the action (and Langrangian) of a gauge field.
Marta Dudek, Janusz Garecki
doaj   +1 more source

Minimizers of higher order gauge invariant functionals

, 2015
We introduce higher order variants of the Yang-Mills functional that involve $(n-2)$th order derivatives of the curvature. We prove coercivity and smoothness of critical points in Uhlenbeck gauge in dimensions $\mathrm{dim}M\le 2n$.
Gastel, Andreas, Scheven, Christoph
core   +1 more source