Results 201 to 210 of about 52,638 (215)
Spin-resolved topology and partial axion angles in three-dimensional insulators. [PDF]
Lin KS +10 more
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Pointwise metric compatible connections and a conjecture of Chern on affine manifolds
Mihail Cocos
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Electrical control of topological 3Q state in intercalated van der Waals antiferromagnet Co<sub>x</sub>-TaS<sub>2</sub>. [PDF]
Kim J +6 more
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ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS
Acta Mathematica Scientia, 2000Let \((\widetilde M,\widetilde F)\) 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
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On the Tanno connection and the Chern-Moser connection, in almost CR-geometry
Hokkaido Mathematical Journal, 2023The 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 ...
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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
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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
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Universal property of chern character forms of the canonical connection
Geometrical and Functional Analysis GAFA, 2004For 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 ...
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Chern–Simons forms for ℝ-linear connections on Lie algebroids
International Journal of Mathematics, 2018This 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.
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Shen's L-process on the Chern connection
2023Faghfouri, Morteza, Jazer, Nadereh
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