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1 results

Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric
Part of
- Global differential geometry
- Local differential geometry
Zeke Yao, Bangchao Yin, Zejun Hu
Journal:

Canadian Mathematical Bulletin / Volume 65 / Issue 1 / March 2022

Published online by Cambridge University Press:

15 February 2021, pp. 68-83

Print publication:

March 2022
- Article
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In this paper, by applying for a new approach of the so-called Tsinghua principle, we prove the nonexistence of locally conformally flat real hypersurfaces in both the m-dimensional complex quadric $Q^m$ and the complex hyperbolic quadric $Q^{m\ast }$ for $m\ge 3$ .