Holonomy of supermanifolds

DOI10.1007/s12188-008-0015-7zbMath1182.58004arXivmath/0703679OpenAlexW2072041040MaRDI QIDQ1032516

Anton S. Galaev

Publication date: 26 October 2009

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703679

zbMATH Keywords

supermanifoldsuperconnectionBerger superalgebraholonomy group, holonomy algebralinear connections on supermanifolds

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Issues of holonomy in differential geometry (53C29) Complex supergeometry (32C11)

Related Items

The twofold way of super holonomy, Invariant bilinear forms on Leibniz superalgebras, Irreducible holonomy algebras of Riemannian supermanifolds, \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation, Irreducible holonomy algebras of odd Riemannian supermanifolds, One component of the curvature tensor of a Lorentzian manifold, Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds, Irreducible complex skew-Berger algebras, Super Wilson Loops and Holonomy on Supermanifolds

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