Results 21 to 30 of about 1,624,577 (208)
Geometric structures associated with the Chern connection attached to a SODE [PDF]
Differential Geometry and its Applications, 2012 To each second-order ordinary differential equation $ $ on a smooth manifold $M$ a $G$-structure $P^ $ on $J^1(\mathbb{R},M)$ is associated and the Chern connection $\nabla ^ $ attached to $ $ is proved to be reducible to $P^ $; in fact, $P^ $ coincides generically with the holonomy bundle of $\nabla ^ $.
J. Muñoz-Masqué, E. Rosado María
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Chern-Simons classes of flat connections on supermanifolds [PDF]
, 2007 In this note we define Chern-Simons classes of a superconnection $D+L$ on a complex supervector bundle $E$ such that $D$ is flat and preserves the grading, and $L$ is an odd endomorphism of $E$ on a supermanifold. As an application we obtain a definition of Chern-Simons classes of a (not necessarily flat) morphism between flat vector bundles on a ...
JN Iyer, Un Iyer
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Explicit construction of a Chern–Moser connection for CR manifolds of codimension two [PDF]
Annali di Matematica Pura ed Applicata, 2005 In the present paper we suggest an explicit construction of a Cartan connection for an elliptic or hyperbolic CR manifold M of dimension six and codimension two, i.e. a pair (P, w), consisting of a principal bundle P over M and of a Cartan connection form w on P, satisfying the following property: the (local) CR transformations of M are in one to one ...
Gerd Schmalz, Andrea Spiro
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A Note on Chern-Weil Classes of Cartan Connections
Minor corrections made in this ...
Luca Accornero +2 more
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Strong connections and the relative Chern-Galois character for corings [PDF]
, 2005 The Chern-Galois theory is developed for corings or coalgebras over non-commutative rings. As the first step the notion of an entwined extension as an extension of algebras within a bijective entwining structure over a non-commutative ring is introduced.
Gabriella Böhm, Tomasz Brzeziński
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Observation of Berry curvature in non-Hermitian system from far-field radiation [PDF]
Nature CommunicationsBerry curvature that describes local geometrical properties of energy bands can elucidate many fascinating phenomena in solid-state, photonic, and phononic systems, given its connection to global topological invariants such as the Chern number.
Xuefan Yin +5 more
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A note on the Gauss–Bonnet–Chern theorem for general connection [PDF]
Journal of Geometry and Physics, 2015 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
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A symmetric Finsler space with Chern connection [PDF]
, 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
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Abelian Chern–Simons theory, Stokes’ theorem, and generalized connections [PDF]
Journal of Geometry and Physics, 2011 Generalized connections and their calculus have been developed in the context of quantum gravity. Here we apply them to abelian Chern-Simons theory. We derive the expectation values of holonomies in U(1) Chern-Simons theory using Stokes' theorem, flux operators and generalized connections. A framing of the holonomy loops arises in our construction, and
Hanno Sahlmann, Thomas Thiemann
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Chern-Simons forms for R-linear connections on Lie algebroids [PDF]
, 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
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