Results 191 to 200 of about 1,624,577 (208)
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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 ...
Xinyue Chen, Weilong Yang, Wenmao Yang
semanticscholar +3 more sources
, 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. 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. Chern, Z. Shen
semanticscholar +2 more sources
Time-reversal soliton pairs in even spin Chern number higher-order topological insulators
Physical review B, 2023Solitons formed through the one-dimensional mass-kink mechanism on the edges of two-dimensional systems with non-trivial topology play an important role in the emergence of higher-order (HO) topological phases.
Yi-Chun Hung +4 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 ...
openaire +2 more sources
, 2011
Implicit ODE, cubic in derivative, generically has no infinitesimal symmetries even at regular points with distinct roots. Cartan showed that at regular points, ODEs with hexagonal 3-web of solutions have symmetry algebras of the maximal possible ...
S. Agafonov
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Implicit ODE, cubic in derivative, generically has no infinitesimal symmetries even at regular points with distinct roots. Cartan showed that at regular points, ODEs with hexagonal 3-web of solutions have symmetry algebras of the maximal possible ...
S. Agafonov
semanticscholar +1 more source
Flavour Hund’s coupling, Chern gaps and charge diffusivity in moiré graphene
Nature, 2020Interaction-driven spontaneous symmetry breaking lies at the heart of many quantum phases of matter. In moiré systems, broken spin/valley ‘flavour’ symmetry in flat bands underlies the parent state from which correlated and topological ground states ...
J. Park +4 more
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Topological Origin of Horizon Temperature via the Chern–Gauss–Bonnet Theorem
JETP Letters : Journal of Experimental And Theoretical Physics LettersThis paper establishes a connection between the Hawking temperature of spacetime horizons and global topological invariants, specifically the Euler characteristic of Wick-rotated Euclidean spacetimes.
J. C. M. Hughes, F. V. Kusmartsev
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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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