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.
@article{urn:eudml:doc:39761,
title = {On Hermitian manifold with torsion.},
journal = {Revista Matem\'atica Hispanoamericana},
volume = {39},
year = {1979},
pages = {111-126},
zbl = {0445.53044},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39761}
}
Nigam, Aruna. On Hermitian manifold with torsion.. Revista Matemática Hispanoamericana, Tome 39 (1979) pp. 111-126. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39761/