TY - JOUR
AU - V. M. Kuzakon’
PY - 2015/03/25
Y2 - 2022/11/29
TI - On the Holomorphy of Developable Vector Fields on Almost Hermitian Manifolds
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 67
IS - 3
SE - Short communications
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1993
AB - We introduce the notion of absolutely developable and biholomorphic vector fields defined on almost Hermitian manifolds. It is shown that any developable vector field on a K¨ahlerian manifold is an absolutely developable vector field. It is also proved that, on a nearly Kählerian manifold, an absolutely developable vector field ξ preserves the almost complex structure if and only if ξ is a special concircular vector field. In addition, we conclude that, on a quasi-Kählerian or Hermitian manifold, a biholomorphic vector field ξ is a special concircular vector field.
ER -