Mathematics – Differential Geometry
Scientific paper
2011-04-08
Mathematics
Differential Geometry
12 pages, to appear on the DGA2010 Proceedings
Scientific paper
A Hermitian metric on a complex manifold is called strong K\"ahler with torsion (SKT) if its fundamental 2-form $\omega$ is $\partial \bar \partial$-closed. We review some properties of strong KT metrics also in relation with symplectic forms taming complex structures. Starting from a $2n$-dimensional SKT Lie algebra $\mathfrak g$ {and using} a Hermitian flat connection on $\mathfrak g$ we construct a $4n$-dimensional SKT Lie algebra. We apply this method to some 4-dimensional SKT Lie algebras. Moreover, we classify symplectic forms taming complex structures on 4-dimensional Lie algebras.
Enrietti Nicola
Fino Anna
No associations
LandOfFree
Special Hermitian metrics and Lie groups 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 Special Hermitian metrics and Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Special Hermitian metrics and Lie groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-355234