Balanced Hermitian geometry on 6-dimensional nilmanifolds
By L. Ugarte, R. Villacampa. 2011
48 citations recorded by the source corpus.
The invariant balanced Hermitian geometry of nilmanifolds of dimension 6 is described. We prove that the holonomy group of the associated Bismut connection reduces to a proper subgroup of SU(3) if and only if the complex structure is abelian. As an application we show that if J is abelian then any invariant balanced J-Hermitian structure provides solutions of the Strominger system.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7b0f7137079c3f2016d40640e28622d171437d76
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In Applied Mathematics
- R. Villacampa
- A. Otal
- Manuel Ceballos
- L. Ugarte
- Anna Fino
- Sonke Rollenske
- Adriano Tomassini
- Luigi Vezzoni
In Geometry and Topology
- R. Villacampa
- A. Otal
- Manuel Ceballos
- L. Ugarte
- Anna Fino
- Sonke Rollenske
- Adriano Tomassini
- Luigi Vezzoni
In Mathematical Physics
Citations in the corpus
- Invariant Complex Structures on 6-Nilmanifolds: Classification, Frölicher Spectral Sequence and Special Hermitian Metrics (2011, background): “From [31] we have that only h3 and h5 have abelian complex structures J admitting balanced metric.”