Harmonic maps on contact metric manifolds

On Contact Metric R-Harmonic Manifolds

In this paper we consider contact metric R-harmonic manifolds M with ξ belonging to (κ, μ)-nullity distribution. In this context we have κ ≤ 1. If κ < 1, then M is either locally isometric to the product E × S(4), or locally isometric to E(2) (the group of the rigid motions of the Euclidean 2-space). If κ = 1, then M is an Einstein-Sasakian manifold. Mathematics Subject Classification: 53C05, 5...

Stable Exponentially Harmonic Maps Between Finsler Manifolds

stable exponentially harmonic maps between finsler manifolds

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.

Symmetries of Contact Metric Manifolds

We study the Lie algebra of infinitesimal isometries on compact Sasakian and K–contact manifolds. On a Sasakian manifold which is not a space form or 3– Sasakian, every Killing vector field is an infinitesimal automorphism of the Sasakian structure. For a manifold with K–contact structure, we prove that there exists a Killing vector field of constant length which is not an infinitesimal automor...