Results 41 to 50 of about 1,172 (64)

A fractional version of Rivière's GL(n)-gauge. [PDF]

Ann Mat Pura Appl, 2022
Da Lio F, Mazowiecka K, Schikorra A.
europepmc   +1 more source

Harmonic morphisms and the Jacobi operator [PDF]

arXiv, 1999
We prove that harmonic morphisms preserve the Jacobi operator along harmonic maps. We apply this result to prove infinitesimal and local rigidity (in the sense of Toth) of harmonic morphisms to a sphere.
arxiv  

On Finite Energy Solutions of 4-harmonic and ES-4-harmonic Maps. [PDF]

J Geom Anal, 2021
Branding V.
europepmc   +1 more source

Harmonic Hopf Constructions Between Spheres II [PDF]

arXiv, 2001
We prove that a necessary condition for the existence of the remaining problem in the harmonic Hopf construction is also sufficient. We also give some topological applications based on our result.
arxiv  

Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]

Ann Mat Pura Appl, 2023
Branding V, Montaldo S, Oniciuc C, Ratto A.   +3 more
europepmc   +1 more source

Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces [PDF]

arXiv, 2003
We deform a map into a Riemannian manifold that is horizontal with respect to a submersion onto a non-positively curved manifold and satisfies a Chow condition into a harmonic one through a horizontal homotopy.
arxiv  

Harmonic morphisms between Weyl spaces and twistorial maps [PDF]

arXiv, 2004
We show that Weyl spaces provide a natural context for harmonic morphisms.
arxiv  

Dirac-harmonic maps with potential. [PDF]

Lett Math Phys, 2022
Branding V.
europepmc   +1 more source

Harmonic morphisms with one-dimensional fibres on conformally-flat Riemannian manifolds [PDF]

arXiv, 2006
We classify the harmonic morphisms with one-dimensional fibres (1) from real-analytic conformally-flat Riemannian manifolds of dimension at least four, and (2) between conformally-flat Riemannian manifolds of dimensions at least three.
arxiv  

Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces [PDF]

arXiv, 2007
We derive Mok-Siu-Yeung type formulas for horizontal maps from compact contact locally sub-symmetric spaces into strictly pseudoconvex CR manifolds and we obtain some rigidity theorems for the horizontal pseudoharmonic maps.
arxiv