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

• Datum: 2007
• Hauptverfasser: Bogolyubov, N. N., Prykarpatsky, A. K., Боголюбов, М. М. (мл.), Прикарпатський, А. К.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3310
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the differential-geometric aspects of generalized de Rham-Hodge complexes naturally related to integrable multidimensional differential systems of the M. Gromov type, as well as the geometric structure of the Chern characteristic classes. Special differential invariants of the Chern type ar...