|
This article is cited in 4 scientific papers (total in 4 papers)
Scalar Flat Kähler Metrics on Affine Bundles over $\mathbb{CP}^1$
Nobuhiro Honda Mathematical Institute, Tohoku University, Sendai, Miyagi, Japan
Abstract:
We show that the total space of any affine $\mathbb{C}$-bundle over $\mathbb{CP}^1$ with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree.
Keywords:
scalar-flat Kähler metric; affine bundle; twistor space.
Received: November 12, 2013; in final form April 15, 2014; Published online April 19, 2014
Citation:
Nobuhiro Honda, “Scalar Flat Kähler Metrics on Affine Bundles over $\mathbb{CP}^1$”, SIGMA, 10 (2014), 046, 25 pp.
Linking options:
https://www.mathnet.ru/eng/sigma911 https://www.mathnet.ru/eng/sigma/v10/p46
|
Statistics & downloads: |
Abstract page: | 171 | Full-text PDF : | 55 | References: | 43 |
|