Hamiltonian 2-forms in Kähler geometry. I: General theory
From MaRDI portal
Publication:2497120
DOI10.4310/JDG/1146169934zbMATH Open1101.53041arXivmath/0202280OpenAlexW1638017781WikidataQ115197132 ScholiaQ115197132MaRDI QIDQ2497120
Author name not available (Why is that?)
Publication date: 1 August 2006
Published in: (Search for Journal in Brave)
Abstract: We introduce the notion of a hamiltonian 2-form on a Kaehler manifold and obtain a complete local classification. This notion appears to play a pivotal role in several aspects of Kaehler geometry. In particular, on any Kaehler manifold with co-closed Bochner tensor, the (suitably normalized) Ricci form is hamiltonian, and this leads to an explicit description of these Kaehler metrics, which we call weakly Bochner-flat. Hamiltonian 2-forms draw attention to a general construction of Kaehler metrics which interpolates between toric geometry and Calabi-like constructions of metrics on (projective) line bundles. They also arise on conformally-Einstein Kaehler manifolds. We explore these connections and ramifications.
Full work available at URL: https://arxiv.org/abs/math/0202280
No records found.
No records found.
This page was built for publication: Hamiltonian 2-forms in Kähler geometry. I: General theory
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2497120)
