Classification of exactly integrable embeddings of two-dimensional manifolds. The coefficients of the third fundamental forms

DOI10.1007/BF01018246zbMath0559.53040MaRDI QIDQ2266240

Mikhail V. Saveliev

Publication date: 1984

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

zbMATH Keywords

graded Lie algebraLax operatorsthird fundamental formnon-linear dynamical systemsintegrable embeddings

Mathematics Subject Classification ID

Global submanifolds (53C40) Embeddings in differential topology (57R40) Dynamical systems and ergodic theory (37-XX)

Cites Work

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• Two-dimensional exactly and completely integrable dynamical systems
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• General solutions of nonlinear equations in the geometric theory of the relativistic string