Search Results - "Gudmundsson, Sigmundur"

New Biharmonic Functions on the Compact Lie Groups SO(n), SU(n), Sp(n) by Gudmundsson, Sigmundur, Siffert, Anna

“…We develop a new scheme for the construction of explicit complex-valued proper biharmonic functions on Riemannian Lie groups. We exploit this and manufacture…”
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Minimal Submanifolds via Complex-Valued Eigenfunctions by Gudmundsson, Sigmundur, Munn, Thomas Jack

“…In this work we introduce a new method for manufacturing minimal submanifolds of Riemannian manifolds of codimension two. For this we employ the so-called…”
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Proper biharmonic maps and (2,1)-harmonic morphisms from some wild geometries by Ghandour, Elsa, Gudmundsson, Sigmundur

“…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…”
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Explicit Proper p-Harmonic Functions on the Riemannian Symmetric Spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n) by Gudmundsson, Sigmundur, Siffert, Anna, Sobak, Marko

“…In this work we construct explicit complex-valued p -harmonic functions on the compact Riemannian symmetric spaces SU ( n ) / SO ( n ) , Sp ( n ) / U ( n ) ,…”
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Proper r-harmonic functions from Riemannian manifolds by Gudmundsson, Sigmundur, Sobak, Marko

“…We introduce a new method for constructing complex-valued r -harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie…”
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Complex-Valued (p, q)-Harmonic Morphisms from Riemannian Manifolds by Ghandour, Elsa, Gudmundsson, Sigmundur

“…We introduce the natural notion of ( p ,  q )-harmonic morphisms between Riemannian manifolds. This unifies several theories that have been studied during the…”
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Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves by Andersdotter Svensson, Emma, Gudmundsson, Sigmundur

“…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…”
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Biharmonic functions on spheres and hyperbolic spaces by Gudmundsson, Sigmundur

“…We construct new explicit proper r-harmonic functions on the standard n-dimensional hyperbolic spaces Hn and spheres Sn for any r≥1 and n≥2…”
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Explicit harmonic morphisms and p-harmonic functions from the complex and quaternionic Grassmannians by Ghandour, Elsa, Gudmundsson, Sigmundur

“…We construct explicit complex-valued p -harmonic functions and harmonic morphisms on the classical compact symmetric complex and quaternionic Grassmannians…”
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A note on biharmonic functions on the Thurston geometries by Gudmundsson, Sigmundur

“…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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Biharmonic functions on the special unitary group SU(2) by Gudmundsson, Sigmundur

“…We construct new proper biharmonic functions defined on open and dense subsets of the special unitary group SU(2). Then we employ a duality principle to obtain…”
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Harmonic morphisms on Lie groups and minimal conformal foliations of codimension two by Gudmundsson, Sigmundur, Munn, Thomas Jack

“…Let G be a Lie group equipped with a left-invariant semi-Riemannian metric. Let K be a semisimple subgroup of G generating a left-invariant conformal foliation…”
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Compact minimal submanifolds of the Riemannian symmetric spaces $${{\textbf {S}}U}(n)/\textbf{SO}(n)$$, $${{\textbf {S}}p}(n)/{{\textbf {U}}}(n)$$, $$\textbf{SO}(2n)/{{\textbf {U}}}(n)$$, $${{\textbf {S}}U}(2n)/{{\textbf {S}}p}(n)$$ via complex-valued eigenfunctions by Gegenfurtner, Johanna Marie, Gudmundsson, Sigmundur

“…Abstract In this work we construct new multi-dimensional families of compact minimal submanifolds of the classical Riemannian symmetric spaces $${{\textbf…”
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Compact minimal submanifolds of the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n) via complex-valued eigenfunctions by Gegenfurtner, Johanna Marie, Gudmundsson, Sigmundur

“…In this work we construct new multi-dimensional families of compact minimal submanifolds of the classical Riemannian symmetric spaces S U ( n ) / SO ( n ) , S…”
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Proper r-harmonic functions on the Thurston geometries by Gudmundsson, Sigmundur, Siffert, Anna

“…For any positive natural number r∈N+ we construct new explicit proper r-harmonic functions on the celebrated 3-dimensional Thurston geometries Sol, Nil,…”
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Harmonic morphisms from 5-dimensional Lie groups by Gudmundsson, Sigmundur

“…We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with…”
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New Biharmonic Functions on the Compact Lie Groups $$\mathbf{SO}(n)$$, $$\mathbf{SU}(n)$$, $$\mathbf{Sp}(n) by Gudmundsson, Sigmundur, Siffert, Anna

“…Abstract We develop a new scheme for the construction of explicit complex-valued proper biharmonic functions on Riemannian Lie groups. We exploit this and…”
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r-Harmonic and Complex Isoparametric Functions on the Lie Groups Rm⋉Rn and Rm⋉H2n+1 by Gudmundsson, Sigmundur, Sobak, Marko

“…In this paper we introduce the notion of complex isoparametric functions on Riemannian manifolds. These are then employed to devise a general method for…”
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r-Harmonic and Complex Isoparametric Functions on the Lie Groups $${{\mathbb {R}}}^m \ltimes {{\mathbb {R}}}^n$$ and $${{\mathbb {R}}}^m \ltimes \mathrm {H}^{2n+1} by Gudmundsson, Sigmundur, Sobak, Marko

“…Abstract In this paper we introduce the notion of complex isoparametric functions on Riemannian manifolds. These are then employed to devise a general method…”
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Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds by Gudmundsson, Sigmundur

“…We study 4-dimensional orientable Riemannian manifolds equipped with a minimal and conformal foliation F of codimension 2. We prove that the two adapted almost…”
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