Biharmonic maps into a Riemannian manifold of non-positive curvature
Nakauchi, Nobumitsu ; Urakawa, Hajime and Gudmundsson, Sigmundur LU
(2014)
In Geometriae Dedicata
169.
p.263-272
- Abstract
- We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We show that if the domain is complete and the target of non-positive curvature, then such a map is harmonic. We then give applications to isometric immersions and horizontally conformal submersions.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2628638
- author
- Nakauchi, Nobumitsu
; Urakawa, Hajime
and Gudmundsson, Sigmundur
LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Harmonic map, Biharmonic map, Chen’s conjecture, Generalized Chen’s conjecture, Primary 58E20, Secondary 53C43
- in
- Geometriae Dedicata
- volume
- 169
- pages
- 263 - 272
- publisher
- Springer
- external identifiers
-
- wos:000332790500017
- scopus:84897634404
- ISSN
- 0046-5755
- DOI
- 10.1007/s10711-013-9854-1
- language
- English
- LU publication?
- yes
- id
- b6bb01d6-815b-47ab-b918-8ea78a56e710 (old id 2628638)
- date added to LUP
- 2016-04-01 11:01:28
- date last changed
- 2022-04-04 23:31:59
@article{b6bb01d6-815b-47ab-b918-8ea78a56e710,
abstract = {{We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We show that if the domain is complete and the target of non-positive curvature, then such a map is harmonic. We then give applications to isometric immersions and horizontally conformal submersions.}},
author = {{Nakauchi, Nobumitsu and Urakawa, Hajime and Gudmundsson, Sigmundur}},
issn = {{0046-5755}},
keywords = {{Harmonic map; Biharmonic map; Chen’s conjecture; Generalized Chen’s conjecture; Primary 58E20; Secondary 53C43}},
language = {{eng}},
pages = {{263--272}},
publisher = {{Springer}},
series = {{Geometriae Dedicata}},
title = {{Biharmonic maps into a Riemannian manifold of non-positive curvature}},
url = {{http://dx.doi.org/10.1007/s10711-013-9854-1}},
doi = {{10.1007/s10711-013-9854-1}},
volume = {{169}},
year = {{2014}},
}