On the rigidity of ℂℙ2n × ℂℙ1

We revisit Koiso’s original examples of rigid infinitesimally deformable Einstein metrics. We show how to compute Koiso’s obstruction to the integrability of the infinitesimal deformations on CP2n×CP1{{\mathbb{CP}}}^{2n}\times {{\mathbb{CP}}}^{1} using completely elementary complex differential geom...

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Bibliographic Details
Main Author: Hall Stuart James
Format: Article
Language:English
Published: De Gruyter 2025-02-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2024-0008
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