Biharmonic Hypersurfaces in 4-Dimensional Space Forms [PDF]
arXiv, 2007 We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces in 4-dimensional space forms.
arxiv
A weak energy identity and the length of necks for a Sacks-Uhlenbeck $α$-harmonic map sequence [PDF]
arXiv, 2008 We will give a weak energy identity for Sacks-Uhlenbeck approximation of harmonic maps and calculate the length of the necks.
arxiv
Biharmonic surfaces of $\mathbb{S}^4$ [PDF]
arXiv, 2009 In this note we prove that a constant mean curvature surface is proper-biharmonic in the unit Euclidean sphere $\mathbb{S}^4$ if and only if it is minimal in a hypersphere $\mathbb{S}^3(\frac{1}{\sqrt{2}})$.
arxiv
Corresponding constant mean curvature surfaces in hyperbolic and Euclidean 3-spaces [PDF]
Pac. J. Appl. Math. 3 (2011), no. 1-2, 37-41, 2010 We make observations about constant mean curvature surfaces in Euclidean 3-space and their dual surfaces, and the resulting pairs of surfaces in hyperbolic 3-space under the Lawson correspondence.
arxiv
Some analytic results on interpolating sesqui-harmonic maps. [PDF]
Ann Mat Pura Appl, 2020 Branding V.
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On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces. [PDF]
Results Math, 2020 Branding V.
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Harmonicity of vector fields on four-dimensional generalized symmetric spaces
Open Mathematics, 2012 Calvaruso Giovanni
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On Interpolating Sesqui-Harmonic Maps Between Riemannian Manifolds. [PDF]
J Geom Anal, 2020 Branding V.
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Nonexistence of stable F-stationary maps of a functional related to pullback metrics. [PDF]
J Inequal Appl, 2017 Li J, Liu F, Zhao P.
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The qualitative behavior at the free boundary for approximate harmonic maps from surfaces. [PDF]
Math Ann, 2019 Jost J, Liu L, Zhu M.
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