The space of Poincaré type Kähler metrics on the complement of a divisor

Details The space of Poincaré type Kähler metrics on the complement of a divisor The space of Poincaré type Kähler metrics on the complement of a divisor

2011-09-14

arxiv.org/abs/1109.3159v2

Mathematics

Differential Geometry

64 pages

Scientific paper

Consider a divisor D with simple normal crossings in a compact K\"ahler manifold X. We show in this article that a K\"ahler metric in an arbitrary class, with constant scalar curvature and cusp singularities along the divisor is unique in this class when K[D] is ample. This we do by generalizing Chen's construction of approximate geodesics in the space of K\"ahler metrics, and proving an approximate version of the Calabi-Yau theorem, both independently of the ampleness of K[D].

Affiliated with

Also associated with

No associations

Rating

The space of Poincaré type Kähler metrics on the complement of a divisor 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 The space of Poincaré type Kähler metrics on the complement of a divisor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The space of Poincaré type Kähler metrics on the complement of a divisor will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570325