Results 141 to 150 of about 1,756 (221)

Jacobi Stability Analysis of Liu System: Detecting Chaos

Mathematics
By utilizing the Kosambi–Cartan–Chern (KCC) geometric theory, this paper is dedicated to providing novel insights into the Liu dynamical system, which stands out as one of the most distinctive and noteworthy nonlinear dynamical systems.
Qinghui Liu, Xin Zhang
doaj   +1 more source

Chern connections and Chern curvature of the tangent bundle of almost complex manifolds

, 2005
35 pages in French, some conceptual modificationsThe $\bar{\partial}_{_{J}}$ operator over an almost complex manifold induces canonical connections of type $(0,1)$ over the bundles of $(p,0)$-forms.
Pali, Nefton
core  

Chern-Simons term in the geometric theory of defects

, 2020
© 2017 American Physical Society. The Chern-Simons term is used in the geometric theory of defects. The equilibrium equations with δ-function source are explicitly solved with respect to the SO(3) connection.
Katanaev M.
core  

Nontrivial bundles and defect operators in n-form gauge theories

Journal of High Energy Physics
In (d + 1)-dimensional 1-form nonabelian gauge theories, we classify nontrivial 0-form bundles in ℝ d , which yield configurations of D(d − 2j)-branes wrapping (d − 2j)-cycles c d−2j in Dd-branes. We construct the related defect operators U (2j−1)(c d−2j
Shan Hu
doaj   +1 more source

An elliptic integrable deformation of the Principal Chiral Model

Journal of High Energy Physics
We introduce a new elliptic integrable σ-model in the form of a two-parameter deformation of the Principal Chiral Model on the group SLℝ(N), generalising a construction of Cherednik for N = 2 (up to reality conditions).
Sylvain Lacroix, Anders Wallberg
doaj   +1 more source

Chern-Simons forms for R-linear connections on Lie algebroids

, 2011
The Chern-Simons forms for R-linear connections on Lie algebroids are considered. A generalized Chern-Simons formula for such R-linear connections is obtained. We it apply to define Chern character and secondary characteristic classes for R-linear connections of Lie algebroids.
openaire   +2 more sources

Curvature on Determinant Bundles and First Chern Forms

, 2007
The Quillen-Bismut-Freed construction associates a determinant line bundle with connection to an infinite dimensional super vector bundle with a family of Dirac-type operators. We de ne the regularized first Chern form of the infinite dimensional bundle,
Sylvie Paycha, Steven Rosenberg
core  

Stringy Corrections to Heterotic SU(3)-Geometry. [PDF]

Commun Math Phys
McOrist J, Picard S.
europepmc   +1 more source

A century of innovative spirit and an optical scientist's pursuit. [PDF]

Light Sci Appl
Wang J.
europepmc   +1 more source

Quantized soliton pumping governed by high-dimensional Chern invariants. [PDF]

Natl Sci Rev
Di F, Zhang W, Yuan H, Qian L, Cao W, Zhou X, Zhang X.   +6 more
europepmc   +1 more source