Singular fibres of harmonic morphisms on S4
Sign Up to like & getrecommendations! Published in 2019 at "Differential Geometry and Its Applications"
DOI: 10.1016/j.difgeo.2019.06.006
Abstract: Abstract In this paper, we study the singular minimal foliation by the fibres of harmonic morphisms due to Burel from ( S 4 , g k , l ) into S 2 where ( g… read more here.
Keywords: fibres harmonic; harmonic morphisms; singular fibres; geometry ... See more keywords
Conformal foliations on Lie groups and complex-valued harmonic morphisms
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103940
Abstract: Abstract We study left-invariant foliations F on Riemannian Lie groups G generated by a subgroup K . We are interested in such foliations which are conformal and with minimal leaves of codimension two. We classify… read more here.
Keywords: foliations lie; lie groups; valued harmonic; conformal foliations ... See more keywords
Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.04.044
Abstract: Harmonic morphisms are maps between Riemannian manifolds that pull back harmonic functions to harmonic functions. These maps are characterized as horizontally weakly conformal harmonic maps and they have many interesting links and applications to several… read more here.
Keywords: harmonic functions; weakly conformal; generalized harmonic; horizontally weakly ... See more keywords