Convergence of Bergman geodesics on CP^1

Details Convergence of Bergman geodesics on CP^1 Convergence of Bergman geodesics on CP^1

2007-03-17

arxiv.org/abs/math/0703517v1

Annales Institut Fourier, volume 57, number 6 (2007), p. 2209-2237

Mathematics

Differential Geometry

23 pages

Scientific paper

The space of positively curved hermitian metrics on a positive holomorphic line bundle over a compact complex manifold is an infinite-dimensional symmetric space. It is shown by Phong and Sturm that geodesics in this space can be uniformly approximated by geodesics in the finite dimensional spaces of Bergman metrics. We prove a stronger C^2-approximation in the special case of toric (i.e. S^1-invariant) metrics on CP^1.

Affiliated with

Also associated with

No associations

Rating

Convergence of Bergman geodesics on CP^1 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 Convergence of Bergman geodesics on CP^1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of Bergman geodesics on CP^1 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-432999