Lp-spectrum of the Dirac operator on products with hyperbolic spaces

被引：0

作者：

Ammann, Bernd ^{[1
]}

Grosse, Nadine ^{[2
]}

机构：

[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

[2] Univ Freiburg, Math Inst, D-79104 Freiburg, Germany

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 55卷 / 05期

关键词：

UNIFORMLY ELLIPTIC-OPERATORS; MANIFOLDS; LAPLACIAN; DYNAMICS;

D O I：

10.1007/s00526-016-1046-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the L-p-spectrum of the Dirac operator on complete manifolds. One of the main questions in this context is whether this spectrum depends on p. As a first example where p-independence fails we compute explicitly the L-p-spectrum for the hyperbolic space and its product with compact spaces.

引用

页数：36

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