Results 1 to 10 of about 164,866 (215)
A symmetric Finsler space with Chern connection [PDF]
arXiv, 2007 We define a symmetry for a Finsler space with Chern connection and investigate its implementation and properties and find a relation between them and flag curvature.
Dariush Latifi, Asadollah Razavi
arxiv +5 more sources
Chern-Simons forms for R-linear connections on Lie algebroids [PDF]
arXiv, 2011 The Chern-Simons forms for R-linear connections on Lie algebroids are considered. A generalized Chern-Simons formula for such R-linear connections is obtained. We it apply to define Chern character and secondary characteristic classes for R-linear connections of Lie algebroids.
Bogdan Balcerzak
arxiv +6 more sources
Connections on Lie groupoids and Chern–Weil theory [PDF]
Reviews in Mathematical Physics, 2023 Let [Formula: see text] be a Lie groupoid equipped with a connection, given by a smooth distribution [Formula: see text] transversal to the fibers of the source map. Under the assumption that the distribution [Formula: see text] is integrable, we define a version of de Rham cohomology for the pair [Formula: see text], and we study connections on ...
Indranil Biswas +3 more
openalex +4 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
Han‐Ting Chen +2 more
openalex +5 more sources
Relative Chern character number and super-connection
Topology and its Applications, 2017 manuscript ...
Dexie Lin
+7 more sources
Strong Connections and Chern-Connes Pairing¶in the Hopf-Galois Theory [PDF]
Communications in Mathematical Physics, 2001 30 pages ...
Ludwik Dąbrowski +2 more
openalex +5 more sources
On Hermitian manifolds whose Chern connection is Ambrose-Singer
Transactions of the American Mathematical Society, 2022 We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such manifolds.
Lei Ni, Fangyang Zheng
openalex +4 more sources
String connections and Chern-Simons theory [PDF]
Transactions of the American Mathematical Society, 2013 55 pages; v2: new section with a better treatment of the relation to string connections of Stolz-Teichner, minor changes otherwise; v3: some newest developments referenced, minor changes; v4 comes with typos corrected and is the final and published ...
Konrad Waldorf
openalex +3 more sources
Symplectic Connections Induced by the Chern Connection
, 2013 Let $(M, )$ be a symplectic manifold and $F$ be a Finsler structure on $M$. In the present paper we define a lift of the symplectic two-form $ $ on the manifold $TM\backslash 0$, and find the conditions that the Chern connection of the Finsler structure $F$ preserves this lift of $ $.
Ebrahim Esrafilian +1 more
openalex +4 more sources
A note on the Gauss-Bonnet-Chern theorem for general connection [PDF]
Journal of Geometry and Physics, 2014 In this paper, we prove a local index theorem for the DeRham Hodge-laplacian which is defined by the connection compatible with metric. This connection need not be the Levi-Civita connection. When the connection is Levi-Civita connection, this is the classical local Gauss-Bonnet-Chern theorem.
Haoran Zhao, Haoran Zhao, Haoran Zhao
arxiv +4 more sources