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| Deformations of Hermitian Yang-Mills Metrics on the Iwasawa and Nakamura Threefolds |
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Citation： |
Jixiang FU,Jieming YANG.Deformations of Hermitian Yang-Mills Metrics on the Iwasawa and Nakamura Threefolds[J].Chinese Annals of Mathematics B,2026,(1):185~212 |
| Page view： 185
Net amount： 91 |
Authors： |
Jixiang FU; Jieming YANG |
Foundation： |
National Natural Science Foundation of China (No. 12141104) |
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| Abstract： |
The authors study the stability of Hermitian Yang–Mills (HYM) metrics under small deformations of the complex structure on non-K?hler Calabi–Yau threefolds, specifically the Iwasawa and Nakamura manifolds. Using the implicit function theorem in Banach spaces and properties of balanced metrics, they prove that HYM connections persist under such deformations, confirming the robustness of the HYM condition in non-K?hler geometry. |
Keywords： |
Deformations Balanced metrics Hermitian Yang-Mills metrics |
Classification： |
53C55, 53B35, 32Q26 |
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