EXPLORING HARMONIC AND MAGNETIC FIELDS ON THE TANGENT BUNDLE WITH A CICONIA METRIC OVER AN ANTI-PARAKA<spacing diaeresis>HLER MANIFOLD

The primary objective of this study is to examine harmonic and generalized magnetic vector fields as mappings from an anti-paraKaihlerian manifold to its associated tangent bundle, endowed with a ciconia metric. Initially, the conditions under which a vector field is harmonic (or magnetic) concerning a ciconia metric are investigated. Subsequently, the mappings between any given Riemannian manifold and the tangent bundle of an anti-paraKaihlerian manifold are explored. The paper delves into identifying the circumstances under which vector fields exhibit harmonicity or magnetism within the framework of a ciconia metric. Additionally, it explores the relationships between specific harmonic and magnetic vector fields, particularly emphasizing their behaviour under conformal transformations of metrics.

Journal

REPORTS ON MATHEMATICAL PHYSICS

Year

2024

Volume

94

Issue

2

Pages

149-173

ISSN

0034-4877

eISSN

1879-0674

DOI

10.1016/S0034-4877(24)00074-0

WoS UID

WOS:001364698900001