Biharmonic maps into a Riemannian manifold of non-positive curvature
(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
- 2021-04-04 22:34:53
@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}, 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}, }