Harmonic maps and para-Sasakian geometry

Authors

  • S. K. Srivastava Department of Mathematics, Central University of Himachal Pradesh, Dharamshala-176215, Himachal Pradesh, India Author
  • K. Srivastava Department of Mathematics, D.D.U. Gorakhpur University, Gorakhpur-273009, Uttar Pradesh, India Author

Keywords:

Harmonic maps, paraholomorphic maps, paracomplex manifolds, paracontact manifolds

Subjects:

53C25, 53C43, 53C56, 53D15, 58C10

Abstract

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

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Published

2017-07-15