On a conformal invariant of the Dirac operator on noncompact manifolds

被引：10

作者：

Grosse, Nadine ^{[1
]}

机构：

[1] Max Planck Inst Math Sci, D-04013 Leipzig, Germany

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2006年 / 30卷 / 04期

关键词：

Dirac operator; noncompact manifold; conformal geometry;

D O I：

10.1007/s10455-006-9039-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend a Yamabe-type invariant of the Dirac operator to noncompact manifolds and show that as in the compact case this invariant is bounded by the corresponding invariant of the standard sphere. Further, this invariant will lead to an obstruction of the conformal compactification of complete noncompact manifolds.

引用

页码：407 / 416

页数：10

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