Implicitly defined V-harmonic maps

  • Monica Alice Aprodu “Dunarea de Jos” University of Galati, Faculty of Sciences and Environment, Faculty of Sciences and Environmental, 111 Domneasca street, Galati, Romania
Keywords: Holomorphic maps, Harmonic maps, V-harmonic maps, Pseudo-horizontally homothetic maps, Riemannian manifold, Kähler manifold

Abstract

We extend the method of constructing harmonic morphisms via implicitly defined maps to the generalized context of -harmonicity. We prove that if a map  satisfies specific holomorphic and -harmonic conditions, the local solutions to the implicit equation defined by  are -harmonic pseudo-horizontally homothetic (PHH) maps.

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Published
2026-01-12
How to Cite
Aprodu, M. A. (2026) “Implicitly defined V-harmonic maps”, Analele Universității ”Dunărea de Jos” din Galați. Fascicula II, Matematică, fizică, mecanică teoretică / Annals of the ”Dunarea de Jos” University of Galati. Fascicle II, Mathematics, Physics, Theoretical Mechanics, 48(2), pp. 118-122. Available at: https://gup.ugal.ro/ugaljournals/index.php/math/article/view/9555 (Accessed: 13January2026).
Issue
Vol 48 No 2 (2025)
Section
Articles