Results 11 to 20 of about 864 (140)
Corrigendum to "Chern connection of a pseudo-Finsler metric as a family of affine connections" [PDF]
Publicationes Mathematicae Debrecen, 2014 In this note, we give the correct statements of [2,Proposition 3.3 and Theorem 3.4] and a formula of the Chern curvature in terms of the curvature tensor $R^V$ of the affine connection $\nabla^V$ and the Chern tensor $P$.
Miguel Ángel Javaloyes
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The Chern-Finsler connection and Finsler-Kähler manifolds [PDF]
Advanced Studies in Pure Mathematics, 2019 In this paper, we shall discuss the theory of connection in complex Finsler geometry, i.e., the Chern-Finsler connection $\nabla$ and its applications. In particular, we shall investigate (1) the ampleness of holomorphic vector bundles over a compact complex manifold which is based on the study due to [Ko1], (2) some special class of complex Finsler ...
Tadashi Aikou
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Spectral triples from bimodule connections and Chern connections [PDF]
Journal of Noncommutative Geometry, 2017 We give a geometrical construction of Connes spectral triples or noncommutative Dirac operators \def\Dslash{{\mathrlap{\,/}{D}}}\Dslash starting with a bimodule connection on the proposed spinor bundle. The theory is applied to the example of M_2(\mathbb C)
Edwin Beggs, Shahn Majid
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Super Chern–Simons theory and flat super connections on a torus [PDF]
Advances in Theoretical and Mathematical Physics, 2001 We study the moduli space of a super Chern-Simons theory on a manifold with the topology ${\bf R}\times $, where $ $ is a compact surface. The moduli space is that of flat super connections modulo gauge transformations on $ $, and we study in detail the case when $ $ is atorus and the supergroup is $OSp(m|2n)$.
Aleksandar Miković, Roger Picken
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Geometric structures associated with the Chern connection attached to a SODE [PDF]
Differential Geometry and its Applications, 2013 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 connections and Chern curvature of the tangent bundle of almost complex manifolds
, 2004 The $\bar{\partial}_{_{J}}$ operator over an almost complex manifold induces canonical connections of type $(0,1)$ over the bundles of $(p,0)$-forms. If the almost complex structure is integrable then the previous connections induce the canonical holomorphic structures of the bundles of $(p,0)$-forms.
Nefton Pali
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L ∞-Algebra Connections and Applications to String- and Chern-Simons n-Transport [PDF]
, 2009 We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L-infinity algebras and use it to study the obstruction theory of lifts through higher String-like extensions of Lie algebras. We find (generalized) Chern-Simons and BF-theory functionals this way and describe aspects of their parallel transport and ...
Hisham Sati, Urs Schreiber, Jim Stasheff
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A symmetric Finsler space with Chern connection
, 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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The Hodge Chern character of holomorphic connections as a map of simplicial presheaves [PDF]
Algebraic & Geometric Topology, 2022 We define a map of simplicial presheaves, the Chern character, that assigns to every sequence of composable non connection preserving isomorphisms of vector bundles with holomorphic connections an appropriate sequence of holomorphic forms. We apply this Chern character map to the Cech nerve of a good cover of a complex manifold and assemble the data by
Cheyne Glass +3 more
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Curvature Properties of the Chern Connection of Twistor Spaces
Rocky Mountain Journal of Mathematics, 2009 14 pages, to appear in Rocky Mountain J ...
Johann Davidov +2 more
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