Back to Search
Start Over
Almost complex manifolds with non-degenerate torsion.
- Source :
-
International Journal of Geometric Methods in Modern Physics . Mar2017, Vol. 14 Issue 3, p-1. 25p. - Publication Year :
- 2017
-
Abstract
- We show that almost complex manifolds of real dimension 4 for which the image of the Nijenhuis tensor forms a non-integrable bundle, called torsion bundle, admit a -structure locally, that is, a double absolute parallelism. In this way, the problem of equivalence for such almost complex manifolds can be solved; moreover, the classification of locally homogeneous manifold is explicitly given when the Lie algebra of its infinitesimal automorphisms is non-solvable (indeed reductive). It is also shown that the group of the automorphisms of is a Lie group of dimension less than or equal to 4, whose isotropy subgroup has at most two elements, and that there are not non-constant holomorphic functions on . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02198878
- Volume :
- 14
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 121263146
- Full Text :
- https://doi.org/10.1142/S0219887817500335