Titlebook: K?hler Immersions of K?hler Manifolds into Complex Space Forms; Andrea Loi,Michela Zedda Book 2018 Springer Nature Switzerland AG 2018 Com

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Hartogs Type Domains,mmetric but just a bounded homogeneous domain.Finally, in Sect. 5.3 we discuss the existence of a K?hler immersion for a large class of Hartogs domains whose K?hler potentials are given locally by . for suitable function . (see Proposition 5.2).

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,Calabi’s Criterion,mplex space formsrespectively. In Sect. 2.3 we discuss the existence of a K?hler immersion of a complex space forminto another, which Calabi himself in (Ann Math 58:1–23, 1953) completely classified as direct application of his criterion.

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Book 2018ccount 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 of the diastasis function, allowed him to obtain necessary and sufficient conditions for a neighbourhood of a point to be locally K?hler immersed into a fini

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1862-9113 ledge of complex and K?hler geometry.Exercises at the end of.The aim of this book is to describe Calabi‘s original work on K?hler immersions of K?hler 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.? ..Calab

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Andrea Loi,Michela ZeddaWinner of the 2017 Book Prize of the Unione Matematica Italiana.Covers topics not surveyed before in the literature.Requires only basic knowledge of complex and K?hler geometry.Exercises at the end of

ASSAY

Lecture Notes of the Unione Matematica Italianahttp://image.papertrans.cn/k/image/541469.jpg

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978-3-319-99482-6Springer Nature Switzerland AG 2018