ALMOST-EINSTEIN HYPERSURFACES IN THE EUCLIDEAN SPACE

被引：4

作者：

Vlachos, Theodoros ^{[1
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2009年 / 53卷 / 04期

关键词：

D O I：

10.1215/ijm/1290435347

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that almost-Einstein hypersurfaces in the Euclidean space are homeomorphic to spheres. The proof relies on universal lower bounds in terms of the Betti numbers for the L(n/2)-norms of the Ricci and traceless Ricci tensor of compact oriented n-dimensional hypersurfaces. Certain examples show that the assumption on the codimension is essential.

引用

页码：1221 / 1235

页数：15

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