Harmonic maps between quaternionic Kahler manifolds

Stable Exponentially Harmonic Maps Between Finsler Manifolds

stable exponentially harmonic maps between finsler manifolds

Harmonic space and quaternionic manifolds

We find a principle of harmonic analyticity underlying the quaternionic (quaternionKähler) geometry and solve the differential constraints which define this geometry. To this end the original 4n-dimensional quaternionic manifold is extended to a biharmonic space. The latter includes additional harmonic coordinates associated with both the tangent local Sp(1) group and an extra rigid SU(2) group...

Complex manifolds, Kahler metrics, differential and harmonic forms

Definition 1.1 (Complex Manifold). A complex manifold is a manifold with coordinates holomorphic on C rather than C∞ on R. What is the difference betwene holomorphic and C∞? From the PDE point of view, they must satisfy the Cauchy-Riemann equations: f(z) = u+ iv is holomorphic if and only if ∂u ∂x = ∂v ∂y and ∂u ∂y = − ∂v ∂x . The fact that this causes the function f to be analytic(holomorphic)...

Harmonic Maps on Kenmotsu Manifolds

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.