Abstract

An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail.

• A useful tool for any scientist conducting research in the field of harmonic analysis
• Provides applications and modern techniques to problem solving
• A clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifolds
• Physical Applications of Geometric Methods

"This monograph (over 500 pages) is well written and self-contained in the field of harmonic vector  fields..."--Mathematical Reviews, Harmonic Vector Fields

"The book is certainly a valuable reference source…The bibliography appears both extensive and carefully selected...The style of formal statements is clear and helpful when browsing for specific results."--Zentralblatt MATH 2012-1245-53002