The exterior derivative as a Killing vector field

DOI10.1007/BF02761099zbMath0853.58010MaRDI QIDQ1912781

Oscar Adolfo Sánchez Valenzuela, Juan Monterde

Publication date: 14 May 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

gradientdivergenceLaplaciangraded manifoldsmetric graded connection

Mathematics Subject Classification ID

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

Related Items

Divergence operators and odd Poisson brackets ⋮ Graded metrics adapted to splittings ⋮ Killing vector fields and harmonic superfield theories ⋮ Homological sections of Lie algebroids ⋮ Modular Classes of Q-Manifolds, Part II: Riemannian Structures $\&$ Odd Killing Vectors Fields ⋮ Riemannian supergeometry ⋮ Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds ⋮ SUPERSYMMETRIC SIGMA MODELS AND HARMONIC SUPERFUNCTIONS ⋮ Odd connections on supermanifolds: existence and relation with affine connections

Cites Work

• Superconnections and the Chern character
• Existence and uniqueness of solutions to superdifferential equations
• Graded Poisson structures on the algebra of differential forms
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