最大体积增长的Calabi-Yau流形上的次二次调和函数

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2023-11-16 DOI:10.1002/cpa.22182

Shih-Kai Chiu

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引用次数: 0

摘要

在具有极大体积增长的完全Calabi-Yau流形M上，具有次二次多项式增长的调和函数是全纯函数的实部。这概括了Conlon-Hein的结果。我们通过证明调和1型的liouville型定理来证明这一结果，该定理由外导数的一个新的局部L2估计推导而来。

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Subquadratic harmonic functions on Calabi-Yau manifolds with maximal volume growth

On a complete Calabi-Yau manifold $M$ with maximal volume growth, a harmonic function with subquadratic polynomial growth is the real part of a holomorphic function. This generalizes a result of Conlon-Hein. We prove this result by proving a Liouville-type theorem for harmonic 1-forms, which follows from a new local $L^{2}$ estimate of the exterior derivative.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567