Balanced Hermitian geometry on 6-dimensional nilmanifolds

Details Balanced Hermitian geometry on 6-dimensional nilmanifolds Balanced Hermitian geometry on 6-dimensional nilmanifolds

2011-04-28

arxiv.org/abs/1104.5524v2

Mathematics

Differential Geometry

22 pages; a new section on deformation of balanced metrics is added

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Balanced Hermitian geometry on 6-dimensional nilmanifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Balanced Hermitian geometry on 6-dimensional nilmanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Balanced Hermitian geometry on 6-dimensional nilmanifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17027