Harmonic Vector Fields
- 25 %

Harmonic Vector Fields

Variational Principles and Differential Geometry
 Buch
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ISBN-13:
9780124158269
Einband:
Buch
Erscheinungsdatum:
01.12.2011
Seiten:
508
Autor:
Sorin Dragomir
Gewicht:
829 g
Format:
237x161x32 mm
Sprache:
Englisch
Beschreibung:

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
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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