Published in arxiv preprint, 2024
This paper is about the axisymmetric solutions to the Teuksolsky system, which arises from linear perturbation of Kerr-Newman spacetime. We focus on slowly rotating, strongly charged Kerr-Newman.
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Published in arxiv preprint, 2024
This paper is about the interior gradient estimate for GMCF in arbitrary codimension with area decreasing condition.
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Published in arxiv preprint, 2023
This paper is about the rigidity of area-nonincreasing map between compact manifolds with positive curvature.
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Published in The Journal of Geometric Analysis, 2023
This paper is about the natural boundary effects/conditions for the positive intermediate curvature condition introduced by Brendle-Hirsch-Johne.
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Published in arxiv preprint, 2023
This paper is about the rigidity of map between compact manifolds with positive curvature, which is based on harmonic map heat flow approach.
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Published in arxiv preprint, 2022
This paper is about the physical-space Morawetz estimates for axisymmetric waves on extremal Kerr spacetime which based on the vector field method.
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Published in Proc. Amer. Math. Soc. 148 (2020), 4967-4982, 2020
This paper is about rigidity of round spheres as self-conformal solutions to inverse curvature flows.
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