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Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain. [PDF]
Medel L+3 more
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Tropical Refined Curve Counting with Descendants. [PDF]
Kennedy-Hunt P+2 more
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Intrinsic negative magnetoresistance from the chiral anomaly of multifold fermions. [PDF]
Balduini F+9 more
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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, Shiing-Shen Chern, Zhongmin Shen
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ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS
Acta Mathematica Scientia, 2000Abstract This paper studies the induced Chern connection of submanifolds in a Finsler manifold and gets the relations between the induced Chern connection and the Chern connection of the induced Finsler metric. Then the authors point out a difference between Finsler submanifolds and Riemann submanifolds.
Weilong Yang, Xinyue Chen, Wenmao Yang
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Universal property of chern character forms of the canonical connection
Geometrical and Functional Analysis GAFA, 2004Let γq,n denote the complex Stiefel bundle over the complex Grassmannian $Gr_n (\mathbb{C}^q )$ and let ω0 be the universal connection on this bundle. Consider the Chern character form of ω0 defined by the formula
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A characterization of the Chern and Bernwald connections
1996We present a global characterization of the Chern and Bernwald connections induced by a Finsler metric, illustrating their similarities and differences with respect to the Cartan connection. Furthermore, using the symplectic structure canonically associated to a Finsler metric, we describe a minimal compatibility condition between a vertical connection
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The chern-simons theory and quantized moduli spaces of flat connections
2007Volker Schomerus, Anton Yu. Alekseev
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