Collected Works
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Beschreibung
While Eugenio Calabi is best known for his contributions to the theory of Calabi-Yau manifolds, this Steele-Prize-winning geometer’s fundamental contributions to mathematics have been far broader and more diverse than might be guessed from this one aspect of his work. His works have deep influence and lasting impact in global differential geometry, mathematical physics and beyond. By bringing together 47 of Calabi’s important articles in a single volume, this book provides a comprehensive overview of his mathematical oeuvre, and includes papers on complex manifolds, algebraic geometry, Kähler metrics, affine geometry, partial differential equations, several complex variables, group actions and topology. The volume also includes essays on Calabi’s mathematics by several of his mathematical admirers, including S.K. Donaldson, B. Lawson and S.-T. Yau, Marcel Berger; and Jean Pierre Bourguignon. This book is intended for mathematicians and graduate students around the world. Calabi’svisionary contributions will certainly continue to shape the course of this subject far into the future.
Presents for the first time a selecta of papers by Eugenio Calabi, one of the most influential geometers of the last century Includes scholarly commentaries by leading differential geometers on Calabi’s work and impact
Autor*in
Eugenio Calabi
Themen in »Collected Works«
53C55, 32F07, 35J96, 53A10, 53A15, 53C21, 53C24, 53C26 Calabi Yau manifold Calabi Conjecture Kaehler Einstein metrics extremal Kaehler metrics and harmonic map from S^2 to S^n Collected Works Eugenio Calabi
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“A physical book, and in particular such a beautiful one of over 800 pages, is a permanent invitation to flip through … . The more I did this, the more I got intimidated by the thought of writing a review on this mathematical marvel. … All them were a pleasure to read, and so I invite you all to share the mathematical joy I have felt … .” (Ilka Agricola, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 126 (2), 2023)
“In my case, I spent several happy hours learning about affine differential geometry, something that would certainly never have happened if I had not picked up this volume. … The collected works of Eugenio Calabi are worthy of a place on the bookshelf of any person with a serious interest in differential geometry.” (Joel Fine, EMS Magazine, May 11, 2023)
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