给定Sn上标量曲率问题的拓扑工具

Central European Journal of Mathematics Pub Date : 2014-07-20 DOI:10.2478/s11533-014-0443-9

Dina A. Abuzaid, Randa Ben Mahmoud, H. Chtioui, Afef Rigane

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引用次数: 1

摘要

本文研究标准球面Sn, n≥3上具有规定标量曲率的共形度量的存在性问题。基于一种新的Euler-Hopf公式类型，给出了新的存在性和多重性结果。由于Y. Li[16]，我们的论证还具有扩展已知结果的优势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Topological tools for the prescribed scalar curvature problem on Sn

In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere Sn, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].

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来源期刊

Central European Journal of Mathematics 数学-数学

自引率

0.00%

发文量

审稿时长

3-8 weeks