Harmonic Vector Fields

Variational Principles and Differential Geometry

Inbunden, Engelska, 2011

1 361 kr

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Beskrivning

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 ?elds 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

Produktinformation

Utgivningsdatum:2011-12-06
Mått:152 x 229 x 32 mm
Vikt:830 g
Format:Inbunden
Språk:Engelska
Antal sidor:528
Förlag:Elsevier Science
ISBN:9780124158269

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Recensioner i media

"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

Innehållsförteckning

Chapter 1: Geometry of Tangent BundleChapter 2: Harmonic Vector FieldsChapter 3: Harmonicity and Stability Chapter 4: Harmonicity and Contact Metric StructuresChapter 5: Harmonicity with Respect to G-Natural MetricsChapter 6: The Energy of SectionsChapter 7: Harmonic Vector Fields in CR GeometryChapter 8: Lorentz Geometry and Harmonic Vector FieldsAppendix A: Twisted CohomologiesAppendix B: The Stokes Theorem on Complete ManifoldsAppendix C: Complex Monge-Ampere EquationsAppendix D: Exceptional Orbits of Highest DimensionAppendix E: Reilly’s FormulaBibliographyIndex