Connections and splittings of super-manifolds

DOI10.1016/0926-2245(94)00011-5zbMath0812.53029OpenAlexW2031003803WikidataQ115362642 ScholiaQ115362642MaRDI QIDQ1330587

Jean-Louis Koszul

Publication date: 9 May 1995

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(94)00011-5

zbMATH Keywords

splittingsupermanifoldlinear connection\(m\)-adic filtrations

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Connections (general theory) (53C05)

Related Items (12)

Geometric properties of involutive distributions on graded manifolds ⋮ Graded metrics adapted to splittings ⋮ The meaning of time and covariant superderivatives in supermechanics ⋮ Normal forms of \(\mathbb{Z}\)-graded \(Q\)-manifolds ⋮ Automorphisms and real structures for a \(\Pi\)-symmetric super-Grassmannian ⋮ Symplectic scalar curvature on the supermanifold of differential forms ⋮ On BV supermanifolds and the super Atiyah class ⋮ Quillen superconnections and connections on supermanifolds ⋮ The structure of Fedosov supermanifolds ⋮ Non-split almost complex and non-split Riemannian supermanifolds ⋮ OBSTRUCTION THEORY FOR SUPERMANIFOLDS AND DEFORMATIONS OF SUPERCONFORMAL STRUCTURES ⋮ Spherical supervarieties

Cites Work

• The Structure of Supermanifolds
• Complex Analytic Connections in Fibre Bundles
• Examples of compact locally affine spaces
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