IJPAM: Volume 63, No. 2 (2010)

ON SPLITTING OF EXACT DIFFERENTIAL FORMS

Vladislav N. Dumachev
Department of Mathematics
Voronezh Institute of the MVD of Russia
53, Pr. Patriotov, Voronezh, 394065, RUSSIA
e-mail: [email protected]


Abstract.In this work the internal structure of de Rham cohomology is considered. As examples the phase flows in $\mathbb {R}^3$ admitting the Nambu Poisson structure are studied.

Received: July 6, 2010

AMS Subject Classification: 14F40, 37K05, 53D17, 58A15

Key Words and Phrases: Poisson structure, Hamiltonian vector fields, de Rham cohomology

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 63
Issue: 2