Calabi-Yau Manifolds of Cohomogeneity One as Complex Line Bundles
Kiyoshi Higashijima, Tetsuji Kimura (Osaka Univ.), Muneto Nitta, (Purdue Univ.)
TL;DR
This paper derives Ricci-flat Kähler metrics on canonical line bundles over Kähler-Einstein coset spaces, providing a unified approach to constructing such metrics in complex geometry.
Contribution
It offers a simple derivation method for Ricci-flat Kähler metrics on line bundles over Kähler-Einstein spaces, extending previous results to a broader class of manifolds.
Findings
Explicit Ricci-flat Kähler metrics derived
Unified derivation method presented
Applicable to arbitrary Kähler-Einstein coset spaces
Abstract
We present a simple derivation of the Ricci-flat Kahler metric and its Kahler potential on the canonical line bundle over arbitrary Kahler coset space equipped with the Kahler-Einstein metric.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.