Harmonic Vector Fields: Variational Principles and Differential Geometry

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Sorin Dragomir (University of Basilicata, Potenza, Italy) Domenico Perrone (Universita' del Salento, Lecce, Italy)

Harmonic Vector Fields

Variational Principles and Differential Geometry

Sorin Dragomir (University of Basilicata, Potenza, Italy), Domenico Perrone (Universita' del Salento, Lecce, Italy)

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English

Elsevier Science Publishing Co Inc
26 October 2011

Differential & Riemannian geometry

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.

By: Sorin Dragomir (University of Basilicata Potenza Italy), Domenico Perrone (Universita' del Salento, Lecce, Italy)
Imprint: Elsevier Science Publishing Co Inc
Country of Publication: United States
Dimensions: Height: 229mm, Width: 151mm, Spine: 33mm
Weight: 830g
ISBN: 9780124158269
ISBN 10: 0124158269
Pages: 528
Publication Date: 26 October 2011
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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

Reviews for Harmonic Vector Fields: Variational Principles and Differential Geometry

"""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"