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| The Uniqueness of Minimal Maps into Cartan-Hadamard Manifolds via the Squared Singular Values |
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Citation： |
Zhiwei JIA,Minghao LI,Ling YANG.The Uniqueness of Minimal Maps into Cartan-Hadamard Manifolds via the Squared Singular Values[J].Chinese Annals of Mathematics B,2026,(1):101~114 |
| Page view： 203
Net amount： 104 |
Authors： |
Zhiwei JIA; Minghao LI;Ling YANG |
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| Abstract： |
In this paper, the authors give a uniqueness theorem for the Dirichlet problem of minimal maps into general Riemannian manifolds with non-positive sectional curvature (Cartan–Hadamard manifolds). The key idea is to use the squared singular values of the differential as auxiliary functions and apply maximum principle techniques. The result extends classical uniqueness theorems for minimal graphs to higher codimension settings without assuming convexity of the target. |
Keywords： |
General codimension Minimal surface system Dirichlet problem for minimal maps Squared singular values |
Classification： |
53A10, 53C42 |
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