Some classes of harmonic functions on vector bundles

This paper is devoted to investigate harmonic functions on vector bundle manifolds endowed with the class of spherically symmetric metrics. We will study three classes of harmonic functions on total spaces of vector bundles. We attempt to establish the link between harmonic function theories on the...

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Bibliographic Details
Published in:	Beiträge zur Algebra und Geometrie Vol. 64; no. 1; pp. 175 - 196
Main Authors:	Kadaoui Abbassi, Mohamed Tahar, Lakrini, Ibrahim
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-03-2023 Springer Nature B.V
Subjects:	Algebra Algebraic Geometry Convex and Discrete Geometry Geometry Harmonic functions Mathematics Mathematics and Statistics Original Paper Complete manifold Vector bundle 53C24 Ricci curvature Spherically symmetric metric 53C25 Harmonic map Harmonic function 53C07
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Summary:	This paper is devoted to investigate harmonic functions on vector bundle manifolds endowed with the class of spherically symmetric metrics. We will study three classes of harmonic functions on total spaces of vector bundles. We attempt to establish the link between harmonic function theories on the base and total space.
ISSN:	0138-4821 2191-0383
DOI:	10.1007/s13366-022-00627-1