Geometric Analysis of the Bergman Kernel and Metric

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Language: English

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The approach to geometric problems with geometric or mechanical means is known as synthetic geometry. A historical perspective may clarify matters. A region R of a surface is said to be convex, if any two points of it can be joined by at least one geodesic lying wholly in R. Poncelet’s third tool was the “principle of duality ,” which interchanges various concepts such as points with lines, or lines with planes, so as to generate new theorems from old theorems. On the one hand, you have to complete the introductory seminar on one of the courses "Analysis on manifolds", "Lie groups", and "Algebraic topology" in the module "Seminars: Geometry and topology" (further introductory seminars can be chosen as advanced courses, their attendence is in any case highly advisable).

Pages: 292

Publisher: Springer; 2013 edition (September 21, 2013)

ISBN: 1461479231

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