On the Rigidity of $\mathbb{CP}^{2n}\times \mathbb{CP}^{1}$
Differential Geometry
2024-08-30 v1
Abstract
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 using completely elementary complex differential geometry.
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Cite
@article{arxiv.2408.16689,
title = {On the Rigidity of $\mathbb{CP}^{2n}\times \mathbb{CP}^{1}$},
author = {Stuart James Hall},
journal= {arXiv preprint arXiv:2408.16689},
year = {2024}
}
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13 pages