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Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components.
By comparing the Laplacians on M and N, we determine conditions under which a harmonic function on U=ϕ−1(V)⊂M projects down, via its horizontal component, to a harmonic function on V⊂N.
American Psychological Association (APA)
Mustafa, M. T.. 2012. Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-462836
Modern Language Association (MLA)
Mustafa, M. T.. Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions. Abstract and Applied Analysis No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-462836
American Medical Association (AMA)
Mustafa, M. T.. Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-462836
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462836