Results 201 to 210 of about 1,756 (221)
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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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Universal property of chern character forms of the canonical connection
Geometric and Functional Analysis, 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 ...
Mahuya Datta
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Direct Connections and Chern Character
Singularity Theory, 2007 We show how the Chern character of the tangent bundle of a smooth manifold may be extracted from the geodesic distance function by means of cyclic homology.
TELEMAN, NECULAI SINEL
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A characterization of the Chern and Bernwald connections
, 1996 Let \(M\) be a smooth manifold and \(\pi:TM\to M\) its tangent bundle. The vertical subbundle \(V\subset T(TM)\) is \(\text{Ker} D\pi\) and a supplement of it is a horizontal bundle. A linear connection in \(V\) is good if it can be canonically prolonged to \(TM\).
ABATE, MARCO
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Shen's L-process on the Chern connection
2023Faghfouri, Morteza, Jazer, Nadereh
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