Harmonic morphisms from five-dimensional Lie groups
(2016) In Geometriae Dedicata 184(1). p.143-157- Abstract
- We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/bc88856a-50ff-439d-bd8c-63326e337fa8
- author
- Gudmundsson, Sigmundur LU
- organization
- publishing date
- 2016-10
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Harmonic morphisms, Minimal submanifolds, Lie groups
- in
- Geometriae Dedicata
- volume
- 184
- issue
- 1
- pages
- 143 - 157
- publisher
- Springer
- external identifiers
-
- scopus:84962870226
- wos:000384414700008
- ISSN
- 0046-5755
- DOI
- 10.1007/s10711-016-0162-4
- language
- English
- LU publication?
- yes
- id
- bc88856a-50ff-439d-bd8c-63326e337fa8
- date added to LUP
- 2016-04-11 16:53:51
- date last changed
- 2019-01-06 12:15:43
@article{bc88856a-50ff-439d-bd8c-63326e337fa8, abstract = {We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.}, author = {Gudmundsson, Sigmundur}, issn = {0046-5755}, keyword = {Harmonic morphisms,Minimal submanifolds,Lie groups}, language = {eng}, number = {1}, pages = {143--157}, publisher = {Springer}, series = {Geometriae Dedicata}, title = {Harmonic morphisms from five-dimensional Lie groups}, url = {http://dx.doi.org/10.1007/s10711-016-0162-4}, volume = {184}, year = {2016}, }