| 1. |
- Andersdotter Svensson, Emma, et al.
(författare)
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Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves
- 2023
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Ingår i: Rendiconti del Circolo Matematico di Palermo. - : Springer Science and Business Media LLC. - 0009-725X .- 1973-4409. ; 72, s. 2265-2286
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Tidskriftsartikel (refereegranskat)abstract
- Let (G, g) be a 4-dimensional Riemannian Lie group with a 2-dimensional left-invariant, conformal foliation F with minimal leaves. Let J be an almost Hermitian structure on G adapted to the foliation F . We classify such structures J which are almost Kähler (AK), integrable (I) or Kähler (K). Hereby we construct several new multi-dimensional examples in each class.
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| 2. |
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| 3. |
- Burel, J-M, et al.
(författare)
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On the geometry of the Gauss map of conformal foliations by lines
- 2004
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Ingår i: Mathematical Proceedings of the Cambridge Philosophical Society. - 1469-8064. ; 136, s. 247-255
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Tidskriftsartikel (refereegranskat)abstract
- Let F be an oriented conformal foliation of connected, totally geodesic and 1-dimensional leaves in Rn+1. We prove that if n greater than or equal to 3 then the Gauss map phi: U --> S-n of F is a non-constant n-harmonic morphism if and only if it is a radial projection.
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| 4. |
- Ghandour, Elsa, et al.
(författare)
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Explicit p-harmonic functions on the real Grassmannians
- 2023
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Ingår i: Advances in Geometry. - 1615-7168.
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Tidskriftsartikel (refereegranskat)abstract
- In this work we use the method of eigenfamilies to construct explicit complex-valued proper p-harmonic functions on the compact real Grassmannians. We also find proper p-harmonic functions on the real flag manifolds which do not descend onto any of the real Grassmannians
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| 5. |
- Ghandour, Elsa, et al.
(författare)
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Proper biharmonic maps and (2,1) -harmonic morphisms from some wild geometries
- 2023
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Ingår i: Rendiconti del Circolo Matematico di Palermo. - 0009-725X. ; 72:8, s. 4101-4114
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Tidskriftsartikel (refereegranskat)abstract
- In this work we construct a variety of new complex-valued proper biharmonic maps and (2, 1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions to a non-linear system of partial differential equations depending on the geometric data of the manifolds involved.
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| 6. |
- Gudmundsson, Sigmundur
(författare)
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A note on biharmonic functions on the Thurston geometries
- 2018
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Ingår i: Journal of Geometry and Physics. - : Elsevier BV. - 0393-0440. ; 131, s. 114-121
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Tidskriftsartikel (refereegranskat)abstract
- We construct new explicit proper biharmonic functions on the 3-dimensional Thurston geometries Sol, Nil, SL˜2(R), H2×R and S2×R.
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| 7. |
- Gudmundsson, Sigmundur, et al.
(författare)
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A note on the classification of holomorphic harmonic morphisms
- 1993
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Ingår i: Potential Analysis. - 1572-929X. ; 2:3, s. 295-298
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Tidskriftsartikel (refereegranskat)abstract
- In this note we give a complete classification of those holomorphic maps phgr:UrarrCopf n defined on open and connected subsets of Copf m which are harmonic morphisms.
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| 8. |
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| 9. |
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| 10. |
- Gudmundsson, Sigmundur
(författare)
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Biharmonic functions on spheres and hyperbolic spaces
- 2018
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Ingår i: Journal of Geometry and Physics. - : Elsevier BV. - 0393-0440. ; 134, s. 244-248
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Tidskriftsartikel (refereegranskat)abstract
- We construct new explicit proper r-harmonic functions on the standard n-dimensional hyperbolic spaces H^n and spheres S^n for any r ≥ 1 and n ≥ 2.
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