IF 1.7 2区 数学 Q1 MATHEMATICS
Mingxiang Li , Xingwang Xu
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引用次数: 0

摘要

我们主要证明,对于 Rn 上 n≥2m+1 的共形度量 g=u4n-2m|dx|2,如果 2m 阶 Qcurvature Qg(2m) 为正且在无穷远附近有缓慢衰减障,则如果 m 至少为 2,则低阶 Qcurvature Qg(2) 和 Qg(4) 均为正。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On positivity of the Q-curvatures of conformal metrics
We mainly show that for a conformal metric g=u4n2m|dx|2 on Rn with n2m+1, if the 2morder Q-curvature Qg(2m) is positive and has slow decay barrier near infinity, the lower order Q-curvature Qg(2) and Qg(4) are both positive if m is at least two.
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来源期刊
CiteScore
3.20
自引率
5.90%
发文量
271
审稿时长
7.5 months
期刊介绍: The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis
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