常数量曲率 Sasaki 度量与射影丛

Charles P. Boyer; Christina W. Tønnesen-Friedman

常数量曲率 Sasaki 度量与射影丛

微分几何 2022-05-16 v2 代数几何

作者: Charles P. Boyer , Christina W. Tønnesen-Friedman

摘要

本文考虑由对数对 $(S_{\bf n},\Delta_{\bf m})$ 给出的扭曲 1 阶段 3 Bott 轨道流形上的 Boothby-Wang 构造。我们直接由常数量曲率（CSC）Kähler 轨道度量或通过 Apostolov 与 Calderbank 的加权极值方法，给出显式的常数量曲率（CSC）Sasaki 度量。这些 Sasaki 7-流形（轨道流形）被具有 $S^2\times S^5$ 的二重连通和的有理同调的紧单连通流形（轨道流形）有限覆盖。

关键词

Sasaki 度量常数量曲率 Boothby-Wang 构造 Bott 轨道流形射影丛 Kähler 轨道流形

引用

@article{arxiv.2112.01567,
  title  = {Constant Scalar Curvature Sasaki Metrics and Projective Bundles},
  author = {Charles P. Boyer and Christina W. Tønnesen-Friedman},
  journal= {arXiv preprint arXiv:2112.01567},
  year   = {2022}
}

备注

30 pages with 1 table, to appear in the volume: Birational Geometry, K\"ahler-Einstein Metrics, and Degeneration in the Springer Proceedings in Mathematics & Statistics. The revised version has corrected minor errors and typos, and made clarifications in the introduction

常数量曲率 Sasaki 度量与射影丛

摘要

关键词

引用

备注

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