Results 201 to 210 of about 52,638 (215)

Spin-resolved topology and partial axion angles in three-dimensional insulators. [PDF]

open access: yesNat Commun
Lin KS   +10 more
europepmc   +1 more source

ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS

Acta Mathematica Scientia, 2000
Let \((\widetilde M,\widetilde F)\) be an \(m\)-dimensional Finsler manifold, \(f:M\to \widetilde M\) an immersion of an \(n\)-dimensioal manifold \(M\) into \(\widetilde M ...
Chen, Xinyue   +2 more
openaire   +2 more sources

On the Tanno connection and the Chern-Moser connection, in almost CR-geometry

Hokkaido Mathematical Journal, 2023
The present paper deals with contact Riemannian manifolds \(M\) (of dimension \(2n+1\)), whose associated complex structures are not assumed to be integrable. In the case \(n=1\), \textit{A. Le} [Manuscr. Math. 122, No. 2, 245--264 (2007; Zbl 1145.32018)] constructed a Cartan connection on the Cartan principal bundle over \(M\) when the structure is ...
openaire   +2 more sources

The Chern Connection

2000
The Chern connection that we construct is a linear connection that acts on a distinguished vector bundle π*TM, sitting over the manifold TM \0 or SM. It is not a connection on the bundle TM over M. Nevertheless, it serves Finsler geometry in a manner that parallels what the Levi-Civita (Christoffel) connection does for Riemannian geometry.
D. Bao, S.-S. Chern, Z. Shen
openaire   +1 more source

Universal property of chern character forms of the canonical connection

Geometrical and Functional Analysis GAFA, 2004
For the complex Grassmannian \(GR_n(\mathbb{C}^q)\) there is a closed \(2k\)-form defining the Chern character \(ch_k(\omega_0)\). This paper proves a universality property of this form. If \(M\) is a manifold of dimension at most \(m\) with a closed \(2k\)-form \(\sigma\) for which there is a continuous map \(f_0: M \rightarrow GR_n(\mathbb{C}^q ...
openaire   +1 more source

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

International Journal of Mathematics, 2018
This paper considers the Chern–Simons forms for [Formula: see text]-linear connections on Lie algebroids. A generalized Chern–Simons formula for such [Formula: see text]-linear connections is obtained. We apply it to define the Chern character and secondary characteristic classes for [Formula: see text]-linear connections of Lie algebroids.
openaire   +1 more source

Shen's L-process on the Chern connection

2023
Faghfouri, Morteza, Jazer, Nadereh
openaire   +2 more sources

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