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Kähler Immersions of Kähler Manifolds Into Complex Space Forms
Paperback
Series: Lecture Notes Of The Unione Matematica Italiana, Book 23
CalculusGeneral MathematicsGeometry
ISBN13: 9783319994826
Publisher: Springer Nature
Published: Oct 11 2018
Pages: 100
Weight: 0.37
Height: 0.23 Width: 6.14 Depth: 9.21
Language: English
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 of the diastasis function, allowed him to obtain necessary and sufficient conditions for a neighbourhood of a point to be locally Kähler immersed into a finite or infinite-dimensional complex space form. This led to a classification of (finite-dimensional) complex space forms admitting a Kähler immersion into another, and to decades of further research on the subject.
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