0175092 - MU-W 20025143 RIV HU eng C - Conference Paper (international conference)
Vanžura, Jiří
One kind of multisymplectic structures on 6-manifolds.
Steps in Differential Geometry, Proceedings of the Colloquium on Differential Geometry. Debrecen: Institute of Mathematics and Informatics, University of Debrecen, 2001, s. 375-391.
[Colloquium on Differential Geometry. Debrecen (HU), 25.06.2000-30.06.2000]
R&D Projects: GA ČR GA201/99/0675
Keywords : multisymplectic structure * 6-manifold
Subject RIV: BA - General Mathematics

It is well known that in dimension 6 there exist exactly three multisymplectic 3-forms. Consequently, on a 6-manifold there are three kinds of multisymplectic structures. One of these structures is investigated in the paper. It is considered as a G-structure, and the relevant group G is determined, and various properties of the structure are determined. There are described necessary and sufficient conditions for the integrability of the structure and one interesting example is presented.
Permanent Link: http://hdl.handle.net/11104/0072082