Add to ORKGThis talk is intended to present the main results of my PhD Thesis concerning the theory of biharmonic maps. A natural generalization for harmonic maps and minimal immersions is obtained by con-sidering the variational problem associated to the integral of the squared norm of the tension field. More precisely, in their first paper on harmonic maps (see [10]), Eells and Sampson suggested a generalization for harmonic maps by defining the biharmonic maps as the critical points of the bienergy functiona
In this paper, we will study the class of biharmonic maps with potential, in the particular case rep...
We study subelliptic biharmonic maps i.e. smooth maps $\phi : M \to N$ from a compact strictly pseud...
We construct biharmonic non-harmonic maps between Riemannian manifolds (M, g) and (N, h) by first ma...
“Nature uses as little as possible of anything ” (Kepler) This conviction of several centuries ago s...
Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of bih...
In [8], even if they took the main interest in harmonic maps, Eells and Sampson also envisaged some ...
Let C∞(M,N) be the space of smooth maps φ: (M, g) → (N, h) between two Riemannian manifolds. A map ...
In this note we characterize the harmonic maps and biharmonic maps with potential, and we prove that...
We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We sh...
Inspired by the all-important conformal invariance of harmonic maps on two-dimensional domains, this...
In this paper, we show the first and second variational formulas of biharmonic maps and bi-Yang-Mill...
The theory of harmonic morphisms is one of particularly interesting subclasses of harmonic maps. A h...
Abstract. We generalize biharmonic maps between Riemannian manifolds into the case of the domain bei...
We prove a Liouville-type theorem for biharmonic maps from a complete Riemannian manifold of dimensi...
A map between compact Riemannian manifolds is called harmonic if it is a critical point of the Diric...
In this paper, we will study the class of biharmonic maps with potential, in the particular case rep...
We study subelliptic biharmonic maps i.e. smooth maps $\phi : M \to N$ from a compact strictly pseud...
We construct biharmonic non-harmonic maps between Riemannian manifolds (M, g) and (N, h) by first ma...
“Nature uses as little as possible of anything ” (Kepler) This conviction of several centuries ago s...
Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of bih...
In [8], even if they took the main interest in harmonic maps, Eells and Sampson also envisaged some ...
Let C∞(M,N) be the space of smooth maps φ: (M, g) → (N, h) between two Riemannian manifolds. A map ...
In this note we characterize the harmonic maps and biharmonic maps with potential, and we prove that...
We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We sh...
Inspired by the all-important conformal invariance of harmonic maps on two-dimensional domains, this...
In this paper, we show the first and second variational formulas of biharmonic maps and bi-Yang-Mill...
The theory of harmonic morphisms is one of particularly interesting subclasses of harmonic maps. A h...
Abstract. We generalize biharmonic maps between Riemannian manifolds into the case of the domain bei...
We prove a Liouville-type theorem for biharmonic maps from a complete Riemannian manifold of dimensi...
A map between compact Riemannian manifolds is called harmonic if it is a critical point of the Diric...
In this paper, we will study the class of biharmonic maps with potential, in the particular case rep...
We study subelliptic biharmonic maps i.e. smooth maps $\phi : M \to N$ from a compact strictly pseud...
We construct biharmonic non-harmonic maps between Riemannian manifolds (M, g) and (N, h) by first ma...