Document Type
Article
Publication Date
4-1-2015
Published In
Geometriae Dedicata
Abstract
In this paper we address what generalized geometric structures are possible on products of spaces that each admit generalized geometries. In particular we consider, first, the product of two odd dimensional spaces that each admit a generalized almost contact structure, and then subsequently, the product of an odd dimensional space that admits a generalized almost contact structure and an even dimensional space that admits a generalized almost complex structure. We also draw attention to the relationship of the Courant bracket to the classical notion of normality for almost contact structures.
Recommended Citation
Ralph R. Gomez and Janet Talvacchia.
(2015).
"On Products Of Generalized Geometries".
Geometriae Dedicata.
Volume 175,
Issue 1.
211-218.
DOI: 10.1007/s10711-014-0036-6
https://works.swarthmore.edu/fac-math-stat/167
Comments
This work is a preprint available from arXiv.org at arXiv:1311.0381v4.