Topological tools for the prescribed scalar curvature problem on Sn

Dina A. Abuzaid, Randa Ben Mahmoud, H. Chtioui, Afef Rigane
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引用次数: 1

Abstract

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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给定Sn上标量曲率问题的拓扑工具
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。
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