Harmonic Vector Fields : Variational Principles and Differential Geometry

Dragomir, Sorin/ Perrone, Domenico

Elsevier Science Publishing Co Inc（2011/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 528 p.
• 言語 ENG
• 商品コード 9780124158269
• DDC分類 514.72

基本説明

An essential modeling tool for any scientist conducting research in the rapidly developing area of harmonic analysis.

Full Description

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.

Contents

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