Rigidity and Non-Rigidity of ℍⁿ/ℤⁿ⁻² with Scalar Curvature Bounded from Below
We show that the hyperbolic manifold ℍⁿ/ℤⁿ⁻² is not rigid under all compactly supported deformations that preserve the scalar curvature lower bound −𝑛(𝑛 − 1), and that it is rigid under deformations that are further constrained by certain topological conditions. In addition, we prove two related spl...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212048 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Rigidity and Non-Rigidity of ℍⁿ/ℤⁿ⁻² with Scalar Curvature Bounded from Below. Tianze Hao, Yuhao Hu, Peng Liu and Yuguang Shi. SIGMA 19 (2023), 083, 28 pages |
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