Results 1 to 10 of about 52,638 (215)
On Hermitian manifolds whose Chern connection is Ambrose-Singer [PDF]
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
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Nullity distributions associated with Chern connection [PDF]
Publicationes Mathematicae Debrecen, 2016 The nullity distributions of the two curvature tensors \, $\overast{R}$ and $\overast{P}$ of the Chern connection of a Finsler manifold are investigated. The completeness of the nullity foliation associated with the nullity distribution $\N_{R^\ast}$ is proved. Two counterexamples are given: the first shows that $\N_{R^\ast}$ does not coincide with the
NABIL L. YOUSSE, SALAH G. ELGENDI
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Curvature properties of the Chern connection of twistor spaces [PDF]
Rocky Mountain Journal of Mathematics, 2005 14 pages, to appear in Rocky Mountain J ...
Johann Davidov +2 more
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Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]
Nuclear Physics B, 2017 We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal +2 more
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Chern connection of a pseudo-Finsler metric as a family of affine connections [PDF]
Publicationes Mathematicae Debrecen, 2014 We consider the Chern connection of a (conic) pseudo-Finsler manifold $(M,L)$ as a linear connection $\nabla^V$ on any open subset $ \subset M$ associated to any vector field $V$ on $ $ which is non-zero everywhere. This connection is torsion-free and almost metric compatible with respect to the fundamental tensor $g$. Then we show some properties of
Miguel Ángel Javaloyes
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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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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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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
Edwin Beggs, Shahn Majid
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Corrigendum to "Chern connection of a pseudo-Finsler metric as a family\n 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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Explicit Connection Between Conformal Field Theory and 2+1 Chern–Simons Theory [PDF]
Modern Physics Letters A, 1997 We give explicit field theoretical representations for the observables of (2+1)-dimensional Chern–Simons theory in terms of gauge-invariant composites of 2-D WZW fields. To test our identification we compute some basic Wilson loop correlators and re-obtain the known results.
D. C. Cabra, G. L. Rossini
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