Harmonic Vector Fields

Variational Principles and Differential Geometry

Sorin Dragomir, Domenico Perrone (Autoren)

Buch | Hardcover

528 Seiten

2011
Elsevier Science Publishing Co Inc (Verlag)
978-0-12-415826-9 (ISBN)

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Offers a reference for those 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.

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.

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

Erscheint lt. Verlag	6.12.2011
Sprache	englisch
Maße	152 x 229 mm
Gewicht	830 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Naturwissenschaften
ISBN-10	0-12-415826-9 / 0124158269
ISBN-13	978-0-12-415826-9 / 9780124158269
Zustand	Neuware