Harmonic Vector Fields
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Harmonic Vector Fields : Variational Principles and Differential Geometry

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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.
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Product details

  • Hardback | 528 pages
  • 149.86 x 228.6 x 33.02mm | 929.86g
  • Amsterdam, Netherlands, United States
  • English
  • 0124158269
  • 9780124158269

Table of contents

Chapter 1: Geometry of Tangent Bundle Chapter 2: Harmonic Vector Fields Chapter 3: Harmonicity and Stability Chapter 4: Harmonicity and Contact Metric Structures Chapter 5: Harmonicity with Respect to G-Natural Metrics Chapter 6: The Energy of Sections Chapter 7: Harmonic Vector Fields in CR Geometry Chapter 8: Lorentz Geometry and Harmonic Vector Fields Appendix A: Twisted Cohomologies Appendix B: The Stokes Theorem on Complete Manifolds Appendix C: Complex Monge-Ampere Equations Appendix D: Exceptional Orbits of Highest Dimension Appendix E: Reilly's Formula Bibliography Index
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Review Text

"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
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Review quote

"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
show more