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Collected Works

Eugenio Calabi (Autor)

Jean-Pierre Bourguignon, Xiuxiong Chen, Simon Donaldson (Herausgeber)

Buch | Hardcover

XXII, 843 Seiten

2021 | 1st ed. 2021
Springer Berlin (Verlag)
978-3-662-62133-2 (ISBN)

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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.

Preface.- J.-P. Bourguignon, Eugenio Calabi’s Short Biography.- Bibliographic List of Works.- S.-T. Yau, An Essay on Eugenio Calabi.- Part I: Commentaries on Calabi’s Life and Work: B. Lawson, Reflections on the Early Work of Eugenio Calabi.- M. Berger, Encounter with a Geometer: Eugenio Calabi.- J.-P. Bourguignon, Eugenio Calabi and Kähler Metrics.- C. LeBrun, Eugenio Calabi and the Curvature of Kähler Manifolds.- X. Chen, S. Donaldson, Calabi’s Work on Affine Differential Geometry and Results of Bernstein Type.- - Part II. Collected Works. Presents 47 of Calabi's Works.- Acknowledgements.

“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)

Erscheinungsdatum	05.03.2022
Zusatzinfo	XXII, 843 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
Schlagworte	53C55, 32F07, 35J96, 53A10, 53A15, 53C21, 53C24, 53C26 • Calabi conjecture • Calabi Yau manifold • Collected works • Eugenio Calabi • extremal Kaehler metrics and harmonic map from S^2 to S^n • Kaehler Einstein metrics
ISBN-10	3-662-62133-9 / 3662621339
ISBN-13	978-3-662-62133-2 / 9783662621332
Zustand	Neuware