Harmonic maps and para-Sasakian geometry

2015/08/11 by Srivastava, S. K., Srivastava, K.
#53C25 #53C43 #53C56 #53D15 #58C10 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.02972

Abstract

The purpose of this paper is to study the harmonicity of maps to or from para-Sasakian manifolds. We derive the condition for the tension field of paraholomorphic map between almost para-Hermitian manifold and para-Sasakian manifold. The necessary and sufficient condition for a paraholomorphic map between para-Sasakian manifolds to be parapluriharmonic are shown and a non-trivial example is presented for its illustrations.

Related

• HS-tensional maps and HM-tensional maps
• Almost para-Hermitian and almost paracontact metric structures induced by natural Riemann extensions
• On the generalized of p-harmonic maps
• On ∂ _b-harmonic maps from pseudo-Hermitian manifolds to Kähler manifolds
• Curvature properties of Quasi-Para-Sasakian Manifolds