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The characteristic Chern type classes and integrability of multidimensional differential systems on Riemannian manifolds
Author(s) -
Prykarpatsky Anatoliy K.,
Bogolubov Nikolai N.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700784
Subject(s) - mathematics , type (biology) , pure mathematics , differential (mechanical device) , integrable system , differential form , mathematical analysis , physics , geology , paleontology , thermodynamics
The differential‐geometric properties of generalized de Rham‐Hodge complexes naturally related with integrable multidimensional differential systems of M. Gromov type are analyzed. The geometric structure of Chern type characteristic classes are studied, special differential invariants of the Chern type are constructed. The integrability of multi‐dimensional nonlinear differential systems on Riemannian manifolds is discussed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)