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Proper r-harmonic functions from Riemannian manifolds

Gudmundsson, Sigmundur LU and Sobak, Marko (2020) In Annals of Global Analysis and Geometry 57(1). p.217-223
Abstract

We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SLn(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO(2 n) and SU(2 n).

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Biharmonic functions, p-harmonic functions, Semisimple Lie groups
in
Annals of Global Analysis and Geometry
volume
57
issue
1
pages
217 - 223
publisher
Springer
external identifiers
  • scopus:85076621377
ISSN
0232-704X
DOI
10.1007/s10455-019-09696-3
language
English
LU publication?
yes
id
0bd2c43a-332c-453f-9743-bde6eb7395f4
date added to LUP
2020-01-14 12:57:53
date last changed
2020-05-29 13:08:24
@article{0bd2c43a-332c-453f-9743-bde6eb7395f4,
  abstract     = {<p>We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SL<sub>n</sub>(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO<sup>∗</sup>(2 n) and SU<sup>∗</sup>(2 n).</p>},
  author       = {Gudmundsson, Sigmundur and Sobak, Marko},
  issn         = {0232-704X},
  language     = {eng},
  number       = {1},
  pages        = {217--223},
  publisher    = {Springer},
  series       = {Annals of Global Analysis and Geometry},
  title        = {Proper r-harmonic functions from Riemannian manifolds},
  url          = {http://dx.doi.org/10.1007/s10455-019-09696-3},
  doi          = {10.1007/s10455-019-09696-3},
  volume       = {57},
  year         = {2020},
}