Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric
Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 68-83
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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 $m\ge 3$.
Mots-clés :
Complex quadric, complex hyperbolic quadric, conformally flat hypersurface, real hypersurface, A-principal, Tsinghua principle
Yao, Zeke; Yin, Bangchao; Hu, Zejun. Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric. Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 68-83. doi: 10.4153/S0008439521000084
@article{10_4153_S0008439521000084,
author = {Yao, Zeke and Yin, Bangchao and Hu, Zejun},
title = {Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric},
journal = {Canadian mathematical bulletin},
pages = {68--83},
year = {2022},
volume = {65},
number = {1},
doi = {10.4153/S0008439521000084},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000084/}
}
TY - JOUR AU - Yao, Zeke AU - Yin, Bangchao AU - Hu, Zejun TI - Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric JO - Canadian mathematical bulletin PY - 2022 SP - 68 EP - 83 VL - 65 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000084/ DO - 10.4153/S0008439521000084 ID - 10_4153_S0008439521000084 ER -
%0 Journal Article %A Yao, Zeke %A Yin, Bangchao %A Hu, Zejun %T Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric %J Canadian mathematical bulletin %D 2022 %P 68-83 %V 65 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000084/ %R 10.4153/S0008439521000084 %F 10_4153_S0008439521000084
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