Weakly complex homogeneous spaces

Details Weakly complex homogeneous spaces Weakly complex homogeneous spaces

2012-02-15

arxiv.org/abs/1202.3363v1

Mathematics

Differential Geometry

16 pages

Scientific paper

We complete our recent classification of compact inner symmetric spaces with weakly complex tangent bundle by filling up a case which was left open, and extend this classification to the larger category of compact homogeneous spaces with positive Euler characteristic. We show that a simply connected compact equal rank homogeneous space has weakly complex tangent bundle if and only if it is a product of compact equal rank homogeneous spaces which either carry an invariant almost complex structure (and are classified by Hermann), or have stably trivial tangent bundle (and are classified by Singhof and Wemmer), or belong to an explicit list of weakly complex spaces which have neither stably trivial tangent bundle, nor carry invariant almost complex structures.

Affiliated with

Also associated with

No associations

Rating

Weakly complex homogeneous spaces 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 Weakly complex homogeneous spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weakly complex homogeneous spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558132