An essential tool for researchers in differential geometry, devoted to the theory of harmonic vector fields on Riemannian, contact, CR, and Lorentzian manifolds. Although focused on the differential geometric properties of harmonic vector fields, this unique book carefully reports on interdisciplinary aspects, relating the subject to both nonlinear analysis (weak solutions to the harmonic vector fields equation) and analysis in several complex variables (subelliptic harmonic vector fields and tangential Cauchy-Riemann equations).
Harmonic Vector Fields: Variational Principles and Differential Geometry
DRAGOMIR, Sorin;
2012-01-01
Abstract
An essential tool for researchers in differential geometry, devoted to the theory of harmonic vector fields on Riemannian, contact, CR, and Lorentzian manifolds. Although focused on the differential geometric properties of harmonic vector fields, this unique book carefully reports on interdisciplinary aspects, relating the subject to both nonlinear analysis (weak solutions to the harmonic vector fields equation) and analysis in several complex variables (subelliptic harmonic vector fields and tangential Cauchy-Riemann equations).File in questo prodotto:
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