Blow-ups and resolutions of strong Kähler with torsion metrics

Details Blow-ups and resolutions of strong Kähler with torsion metrics Blow-ups and resolutions of strong Kähler with torsion metrics

2008-04-02

arxiv.org/abs/0804.0397v2

Mathematics

Differential Geometry

19 pages, to be published in Adv. Math

Scientific paper

On a compact complex manifold we study the behaviour of strong K\"ahler with torsion (strong KT) structures under small deformations of the complex structure and the problem of extension of a strong KT metric. In this context we obtain the analogous result of Miyaoka extension theorem. Studying the blow-up of a strong KT manifold at a point or along a complex submanifold, we prove that a complex orbifold endowed with a strong KT metric admits a strong KT resolution. In this way we obtain new examples of compact simply-connected strong KT manifolds.

Affiliated with

Also associated with

No associations

Rating

Blow-ups and resolutions of strong Kähler with torsion metrics 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 Blow-ups and resolutions of strong Kähler with torsion metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blow-ups and resolutions of strong Kähler with torsion metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390290