Generalized de Rham – Hodge complexes, the related characteristic Chern classes and some applications to integrable multidimensional differential systems on Riemannian manifolds

• Published in: Український математичний журнал
• Date: 2007
• Main Authors: Bogolubov, N.N., Prykarpatsky, A.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164024
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalized de Rham – Hodge complexes, the related characteristic Chern classes and some applications to integrable multidimensional differential systems on Riemannian manifolds / N.N. Bogolubov, A.K. Prykarpatsky // Український математичний журнал. — 2007. — Т. 59, № 3. — С. 327–344. — Бібліогр.: 38 назв. — англ.

The differential-geometric aspects of generalized de Rham – Hodge complexes naturally related with integrable
 multidimensional differential systems of M. Gromov type, as well as the geometric structure of Chern characteristic classes are studied. Special differential invariants of the Chern...