# On Hermitian manifold with torsion.

• Volume: 39, Issue: 2-3, page 111-126
• ISSN: 0373-0999

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## Abstract

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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.

## How to cite

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Nigam, Aruna. "On Hermitian manifold with torsion.." Revista Matemática Hispanoamericana 39.2-3 (1979): 111-126. <http://eudml.org/doc/39761>.

@article{Nigam1979,
abstract = {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.},
author = {Nigam, Aruna},
journal = {Revista Matemática Hispanoamericana},
keywords = {Variedades complejas; Variedades hermíticas; Hermitian manifold with torsion; pseudo-analytic vector field},
language = {eng},
number = {2-3},
pages = {111-126},
title = {On Hermitian manifold with torsion.},
url = {http://eudml.org/doc/39761},
volume = {39},
year = {1979},
}

TY - JOUR
AU - Nigam, Aruna
TI - On Hermitian manifold with torsion.
JO - Revista Matemática Hispanoamericana
PY - 1979
VL - 39
IS - 2-3
SP - 111
EP - 126
AB - 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.
LA - eng
KW - Variedades complejas; Variedades hermíticas; Hermitian manifold with torsion; pseudo-analytic vector field
UR - http://eudml.org/doc/39761
ER -

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