Transformations of locally conformally Kähler manifolds

Details Transformations of locally conformally Kähler manifolds Transformations of locally conformally Kähler manifolds

2008-12-16

arxiv.org/abs/0812.3002v2

manuscripta mathematica 130, 1 (2009) 93-100

Mathematics

Differential Geometry

8 pages

Scientific paper

10.1007/s00229-009-0278-z

We consider several transformation groups of a locally conformally K\"ahler manifold and discuss their inter-relations. Among other results, we prove that all conformal vector fields on a compact Vaisman manifold which is neither locally conformally hyperk\"ahler nor a diagonal Hopf manifold are Killing, holomorphic and that all affine vector fields with respect to the minimal Weyl connection of a locally conformally K\"ahler manifold which is neither Weyl-reducible nor locally conformally hyperk\"ahler are holomorphic and conformal

Affiliated with

Also associated with

No associations

Rating

Transformations of locally conformally Kähler manifolds 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 Transformations of locally conformally Kähler manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transformations of locally conformally Kähler manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-226947