Kähler Immersions of Kähler Manifolds into Complex Space Forms

• Main Authors: Loi, Andrea (Author, http://id.loc.gov/vocabulary/relators/aut), Zedda, Michela (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Lecture Notes of the Unione Matematica Italiana, 23
• Subjects: Differential geometry.; Functions of complex variables.; Differential Geometry.; Several Complex Variables and Analytic Spaces.

The aim of this book is to describe Calabi's original work on Kähler immersions of Kähler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems. Calabi's pioneering work, making use of the powerful tool...

Table of Contents:

• - The Diastasis Function
• Calabi's Criterion
• Homogeneous Kähler manifolds
• Kähler-Einstein Manifolds
• Hartogs Type Domains
• Relatives
• Further Examples and Open Problems.