Implicitly defined V-harmonic maps

Authors

  • Monica Alice Aprodu “Dunarea de Jos” University of Galati, Faculty of Sciences and Environment, Faculty of Sciences and Environmental, 111 Domneasca street, Galati, Romania

DOI:

https://doi.org/10.35219/ann-ugal-math-phys-mec.2025.2.10

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

Issue

Vol. 48 No. 2 (2025)

Section

Articles

How to Cite

“Implicitly defined V-harmonic maps” (2026) 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. doi:10.35219/ann-ugal-math-phys-mec.2025.2.10.