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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…
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Keywords:
foliations lie;
lie groups;
valued harmonic;
conformal foliations ... See more keywords
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Published in 2019 at "Advances in Calculus of Variations"
DOI: 10.1515/acv-2016-0033
Abstract: Abstract We consider an energy functional motivated by the celebrated K 13 {K_{13}} problem in the Oseen–Frank theory of nematic liquid crystals. It is defined for sphere-valued functions and appears as the usual Dirichlet energy…
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Keywords:
maps surface;
energy;
sphere valued;
harmonic maps ... See more keywords