Results 141 to 150 of about 1,141,086 (166)

Strawberry Connection

Strawberry Connection
core  

Gray identities, Chern connections and integrability

, 2010
DI SCALA, ANTONIO JOSE', L. VEZZONI
openaire   +1 more source

The Chern Connection

Graduate Texts in Mathematics, 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, Chern S -S
exaly   +3 more sources

Curvature Properties of the Chern Connection of Twistor Spaces

Rocky Mountain Journal of Mathematics, 2009
14 pages, to appear in Rocky Mountain J ...
Gueo Grantcharov
exaly   +5 more sources

Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach [PDF]

Journal of Dynamical Systems and Geometric Theories, 2020
LaTeX file, 14 ...
Nabil Youssef, S G Elgendi
exaly   +3 more sources

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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 ...
exaly   +3 more sources

Connection between the winding number and the Chern number [PDF]

Chinese Journal of Physics, 2021
Bulk-edge correspondence is one of the most distinct properties of topological insulators. In particular, the 1D winding number $\n$ has a one-to-one correspondence to the number of edge states in a chain of topological insulators with boundaries. By properly choosing the unit cells, we carry out numerical calculation to show explicitly in the extended
Hsien-Chung Kao, Han-Ting Chen
exaly   +4 more sources

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, Yang, Weilong, Yang, Wenmao   +2 more
exaly   +3 more sources

Chern Connection

Peking University Series in Mathematics, 2006
exaly   +2 more sources

Universal property of chern character forms of the canonical connection

Geometric and Functional Analysis, 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 ...
Mahuya Datta
exaly   +2 more sources