Integrable supermanifolds and associated nonlinear equations

DOI10.1007/BF01018194zbMath0568.58040MaRDI QIDQ1060482

Mikhail V. Saveliev

Publication date: 1984

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

embeddingsLie superalgebrasupermanifoldsLiouville and sine-Gordon equationsToda-chain

Mathematics Subject Classification ID

Superalgebras (17A70) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Partial differential equations on manifolds; differential operators (58J99) Embeddings in differential topology (57R40)

Cites Work

• Supersymmetric two-dimensional Toda lattice
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Lie superalgebras

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