The Gagliardo–Nirenberg inequalities and manifolds of non-negative Ricci curvature

The Gagliardo–Nirenberg inequalities and manifolds of non-negative Ricci curvature
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DOI:
10.1016/j.jfa.2004.11.009
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发表时间:
2005-07
影响因子:
1.7
通讯作者:
C. Xia
C. Xia
中科院分区:
数学1区
文献类型:
--
作者:
C. Xia

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本文研究了具有大于或等于2维非负里奇曲率的完备非紧黎曼流形与欧几里德空间的距离不太远,其中某些伽利亚多-尼伦堡型不等式成立。
This article is devoted to show that complete non-compact Riemannian manifolds with non-negative Ricci curvature of dimension greater than or equal to two in which some Gagliardo–Nirenberg type inequality holds are not very far from the Euclidean space.