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’s visionary contributions will certainly continue to shape the course of this subject far into the future.
Presents for the first time all works of Eugenio Calabi, one of the most influencial geometers of the last century
Includes scholarly comments on Calabi’s work and impact by leading differential geometers
Autor*in
Eugenio Calabi
Themen in »Collected Works«
53C55, 32F07, 35J96, 53A10, 53A15, 53C21, 53C24, 53C26 Calabi Conjecture Calabi Yau manifold Collected Works Eugenio Calabi Kaehler Einstein metrics extremal Kaehler metrics and harmonic map from S^2 to S^n