Local structure of generalized contact manifolds
This paper studies the geometric properties of generalized contact pairs. Let us recall that generalized complex structures were introduced to extend the theory of classical G-structures on even-dimensional manifolds. A natural question is then the problem of uncovering the odd-dimensional counterpart of a generalized complex structure. In this paper, the author investigates the geometric conditions expressing the integrability of a generalized contact pair. In order to understand the local theory for generalized contact manifolds, she proves that locally any smooth manifold endowed with a generalized contact pair is equivalent to the product of an almost cosymplectic manifold by a generalized complex manifold. An application to string theory is also mentioned.
scientific article; zbMATH DE number 6013283
scientific article