On the Holomorphy of Developable Vector Fields on Almost Hermitian Manifolds

• Date: 2015
• Main Authors: Kuzakon’, V. M., Кузаконь, В. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1993
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 absolu...