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| The Parabolic Quaternionic Monge-Amp`ere Type Equation on HyperK¨ahler Manifolds |
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Citation： |
Jixiang FU,Xin XU,Dekai ZHANG.The Parabolic Quaternionic Monge-Amp`ere Type Equation on HyperK¨ahler Manifolds[J].Chinese Annals of Mathematics B,2025,46(5):647~662 |
| Page view： 172
Net amount： 112 |
Authors： |
Jixiang FU; Xin XU;Dekai ZHANG |
Foundation： |
the National Natural Science Foundation of China (Nos. 12141104,
11901102) |
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| Abstract： |
This paper proves the long-time existence and uniqueness of solutions to a
parabolic quaternionic Monge-Amp`ere type equation on compact hyperK¨ahler manifolds.
Moreover, it is shown that after normalization, the solution converges smoothly to the
unique solution of the Monge-Amp`ere equation for (n ? 1)-quaternionic psh functions. |
Keywords： |
Quaternionic Monge-Amp`ere type equation Parabolic equation HyperK¨ahler manifold |
Classification： |
53C26, 58J35, 32W20 |
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