Sine - Laplace Equation, Sinh-Laplace Equation and Harmonic Maps.
Some constancy results for harmonic maps from non-contractable domains into spheres.
Some constructions of biharmonic maps on the warped product manifolds
In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.
Some examples of harmonic maps for -natural metrics
We produce new examples of harmonic maps, having as source manifold a space of constant curvature and as target manifold its tangent bundle , equipped with a suitable Riemannian -natural metric. In particular, we determine a family of Riemannian -natural metrics on , with respect to which all conformal gradient vector fields define harmonic maps from into .
Some properties and applications of harmonic mappings
Some properties of exponentially harmonic maps
Some results on the geometry of full flag manifolds and harmonic maps.
Spectral geometry of harmonic maps into warped product manifolds. II.
Stabilities of F-Yang-Mills fields on submanifolds
In this paper, we define an -Yang-Mills functional, and hence -Yang-Mills fields. The first and the second variational formulas are calculated, and the stabilities of -Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated, and hence the theories of Yang-Mills fields are generalized in this paper.
Stability and Uniqueness Properties of the Equator Map from a Ball into an Ellipsoid.
Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds.
Stability of the equator map.
Stable defects of minimizers of constrained variational principles
Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature
We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if Mⁿ is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying , then there is no non-degenerate stable harmonic map between M and any compact Finsler manifold.
Stable Harmonic Maps from Pinched Manifolds.
Stochastic calculus and martingales on trees
Stochastic methods and differential geometry
Stratification of minimal surfaces, mean curvature flows, and harmonic maps.
Strong Rigidity of Irreducible Quotients of Polydiscs of Finite Volume.
Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry
We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.