Resumen de On Hermitian manifold with torsion
Aruna Nigam
Analytic vector fields in a Hermitian manifold have been studied by various authors [3, 4, 6 & 7]. Boothby [2] and Goldberg [1] extended some of these results to Hermitian manifold with torsion. In this paper we define and study p-pseudo-analytic vector fields, which when p = 1, reduce to analytic vector fields as given in [1] and [2]. A necessary and sufficient condition for a vector field to be covariant (contravariant) p-pseudo-analytic has been obtained and their relationship with p-pseudo-harmonic and p-pseudo-Killing vector fields [5] is investigated. It is also established that a covariant (contravariant) (p+1)-pseudo-analytic. Later, necessary and sufficient condition for a vector field to be both covariant (contravariant) p and (p+1)-pseudo-analytic has been obtained.
