Results 31 to 40 of about 1,172 (64)
Biharmonic space-like hypersurfaces in pseudo-Riemannian space [PDF]
arXiv, 2008 We classify the space-like biharmonic surfaces in 3-dimension pseudo-Riemannian space form, and construct explicit examples of proper biharmonic hypersurfaces in general ADS space.
arxiv
Bianchi-Bäcklund transforms and dressing actions, revisited [PDF]
arXiv, 2008 We characterize Bianchi-B\"{a}cklund transformations of surfaces of positive constant Gauss curvature in terms of dressing actions of the simplest type on the space of harmonic maps.
arxiv
Submanifolds with Biharmonic Gauss Map [PDF]
arXiv, 2008 We generalize the Ruh-Vilms problem by characterizing the submanifolds in Euclidean spaces with proper biharmonic Gauss map and we construct examples of such hypersurfaces.
arxiv
On the existence of harmonic morphisms from three-dimensional Lie groups [PDF]
arXiv, 2010 In this paper we classify those three-dimensional Riemannian Lie groups which admit harmonic morphisms to surfaces.
arxiv
Weak limit of an immersed surface sequence with bounded Willmore functional [PDF]
arXiv, 2011 We will study the blowup behavior of a surface sequence immersed in $R^2$ with bounded Willmore functional and fixed genus.
arxiv
Harmonic morphisms and eigenfamilies on the exceptional Lie group G2 [PDF]
arXiv, 2013 We construct harmonic morphisms on the compact simple Lie group G2. The construction uses eigenfamilies in a representation theoretic scheme.
arxiv
On p-harmonic self-maps of spheres. [PDF]
Calc Var Partial Differ Equ, 2023 Branding V, Siffert A.
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Harmonic maps and biharmonic Riemanian submersions [PDF]
arXiv, 2018 Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of biharmonic but not harmonic Riemannian submersions are shown.
arxiv
On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]
J Geom Anal, 2023 Branding V.
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Biharmonic Hermitian vector bundles over compact Kaehlar Einstein manifolds [PDF]
arXiv, 2019 In this paper, we show that, for every Hermitian vector bundle over a compact Kaehler Einstein manifold, if the projection is biharmonic, then it is harmonic.
arxiv