Results 31 to 40 of about 897 (41)

Biharmonic Lagrangian submanifolds in Kähler manifolds [PDF]

arXiv, 2012
We give necessary and sufficient conditions for a Lagrangian submanifold of a K\"ahler manifold to be biharmonic. Furthermore, we classify biharmonic PNMC Lagrangian submanifolds in the complex space forms.
arxiv  

Some properties of F-harmonic maps [PDF]

arXiv, 2012
In this note, we investigate estimates of the Morse index for F-harmonic maps into spheres, our results extend partially those obtained in ([14]) and ([15]) for harmonic and p-harmonic maps.
arxiv  

A loop group method for affine harmonic maps into Lie groups [PDF]

arXiv, 2014
We generalize the Uhlenbeck-Segal theory for harmonic maps into compact semi-simple Lie groups to general Lie groups equipped with torsion free bi-invariant connection.
arxiv  

CR rigidity of pseudo harmonic maps and pseudo biharmonic maps [PDF]

arXiv, 2014
The CR analogue of B.-Y. Chen's conjecture on pseudo biharmonic maps will be shown. Pseudo biharmonic, but not pseudo harmonic, isometric immersions with parallel pseudo mean curvature vector fields, will be characterized. Several examples of pseudo biharmonic maps will be given.
arxiv  

Biharmonic homogeneous hypersurfaces in compact symmetric spaces [PDF]

arXiv, 2015
In this paper, we study biharmonic hypersurfaces in Einstein manifolds. Then, we determine all the biharmonic hypersurfaces in irreducible symmetric spaces of compact type which are regular orbits of commutative Hermann actions of cohomogeneity one.
arxiv  

Quasiisometric harmonic maps between rank one symmetric spaces [PDF]

arXiv, 2015
We prove that a quasiisometric map between rank one symmetric spaces is within bounded distance from a unique harmonic map. In particular, this completes the proof of the Schoen-Li-Wang conjecture.
arxiv  

From harmonic mappings to Ricci solitons [PDF]

arXiv, 2018
The paper is devoted to the study of the global geometries of harmonic mappings and infinitesimal harmonic transformations and presents their applications to the theory of Ricci solitons.
arxiv  

On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces. [PDF]

Results Math, 2020
Branding V.
europepmc   +1 more source

The qualitative behavior at the free boundary for approximate harmonic maps from surfaces. [PDF]

Math Ann, 2019
Jost J, Liu L, Zhu M.
europepmc   +1 more source

Refined asymptotics of the Teichmüller harmonic map flow into general targets. [PDF]

Calc Var Partial Differ Equ, 2016
Huxol T, Rupflin M, Topping PM.
europepmc   +1 more source