Preface; Principal ideas of classical function theory; 1. Basic notions of differential geometry; 2. Curvature and applications; 3. Some new invariant metrics; 4. Introduction to the Bergmann theory; 5. A glimpse of several complex variables; 6. Appendix; Symbols; References; Index.
Advanced textbook on central topic of pure mathematics.
'A first-rate book, which can be used either as a text or a reference.' Choice 'In five very nicely written chapters this book gives an introduction to the approach to function theory via Riemannian geometry. Very little function-theoretic background is needed and no knowledge whatsoever of differential geometry is assumed.' Mathematical Reviews
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