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. 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 finite or infinite-dimensional complex space form. This led to a classification ...
Read More
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. 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 finite or infinite-dimensional complex space form. This led to a classification of (finite-dimensional) complex space forms admitting a K�hler immersion into another, and to decades of further research on the subject. Each chapter begins with a brief summary of the topics to be discussed and ends with a list of exercises designed to test the reader's understanding. Apart from the section on K�hler immersions of homogeneous bounded domains into the infinite complex projective space, which could be skipped without compromising the understanding of the rest of the book, the prerequisites to read this book are a basic knowledge of complex and K�hler geometry.
Read Less
Add this copy of Kähler Immersions of Kähler Manifolds Into Complex to cart. $46.96, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2018 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Print on demand Trade paperback (US). Glued binding. 100 p. Contains: Unspecified, Illustrations, black & white. Lecture Notes Of The Unione Matematica Italiana, 23.
Add this copy of Kähler Immersions of Kähler Manifolds Into Complex to cart. $103.78, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2018 by Springer.
