Results 11 to 20 of about 1,141,086 (166)
On Hermitian manifolds whose Chern connection is Ambrose-Singer
Transactions of the American Mathematical Society, 2023 We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature.
Zheng, Fangyang, Ni, Lei
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Direct Connections and Chern Character
Singularity Theory, 2007 We show how the Chern character of the tangent bundle of a smooth manifold may be extracted from the geodesic distance function by means of cyclic homology.
TELEMAN, NECULAI SINEL
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Chern characters via connections up to homotopy [PDF]
, 2000 The aim of this note is to point out that Chern characters can be computed using curvatures of \connections up to homotopy", and to present an application to the vanishing theorem for Lie algebroids.
Crainic, M.
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Connections on Lie groupoids and Chern–Weil theory
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
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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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Chern character for totally disconnected groups [PDF]
, 2009 In this paper we construct a bivariant Chern character for the equivariant $ KK $-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider.
Voigt, C., Christian Voigt
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Bott–Chern cohomology and q-complete domains [PDF]
, 2013 In studying the Bott–Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott–Chern q-complete ...
Daniele Angella +3 more
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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
Youssef, Nabil L., Elgendi, S. G.
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String connections and Chern-Simons theory [PDF]
Transactions of the American Mathematical Society, 2013 We present a finite-dimensional and smooth formulation of string structures on spin bundles. It uses trivializations of the Chern-Simons 2-gerbe associated to this bundle. Our formulation is particularly suitable to deal with string connections: it enables us to prove that every string structure admits a string connection and that the possible choices ...
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On the $\partial\overline{\partial}$ -Lemma and Bott-Chern cohomology [PDF]
, 2013 On a compact complex manifold X, we prove a Frölicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if X satisfies the ...
Tomassini, Adriano +2 more
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