Vector fields and differential equations on supermanifolds

DOI10.1007/BF01086577zbMath0455.58025MaRDI QIDQ1150202

V. N. Shander

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

differential equations on supermanifoldsodd vector fieldssquare roots of the shift generator

Mathematics Subject Classification ID

Infinite-dimensional manifolds (58B99) Partial differential equations on manifolds; differential operators (58J99) General theory of differentiable manifolds (58A99) Dynamical systems and ergodic theory (37-XX)

Related Items (15)

Normal forms of homological vector fields ⋮ On the differential equation of first and second order in the Zeon algebra ⋮ The meaning of time and covariant superderivatives in supermechanics ⋮ Homological sections of Lie algebroids ⋮ All stable characteristic classes of homological vector fields ⋮ Differential operators on the superline, Berezinians, and Darboux transformations ⋮ \(\mathbb{A}^{0|1}\)-torsors, quotients by free \(\mathbb{A}^{0|1}\)-actions, and embeddings into \(\Pi\)-projective spaces and super-Grassmannians \(G(1|1, n|n)\) ⋮ Invariant operators on geometric quantities ⋮ Modular Classes of Q-Manifolds, Part II: Riemannian Structures $\&$ Odd Killing Vectors Fields ⋮ Unnamed Item ⋮ On the second order differential equation involving two ordinary and one para-Grassmann variable ⋮ Darboux theorem and equivariant Morse lemma ⋮ Hamilton's equations and supersymplectic flows on (2,2)-dimensional superspace ⋮ Existence and uniqueness of solutions to superdifferential equations ⋮ Local superfield Lagrangian BRST quantization

Cites Work

• Particle spin dynamics as the Grassmann variant of classical mechanics
• One conjecture of Steinberg

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