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.
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页数：36
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