Name: Kähler Immersions of Kähler Manifolds Into Complex Space Forms (Lecture Notes of the Unione Matematica Italiana) (en Inglés)
Price: 87720.00 CLP
Availability: InStock
Author: Andrea Loi; Michela Zedda
ISBN: 9783319994826

portada Kähler Immersions of Kähler Manifolds Into Complex Space Forms (Lecture Notes of the Unione Matematica Italiana) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Andrea Loi; Michela Zedda

Año

2018

Idioma

Inglés

N° páginas

100

Encuadernación

Tapa Blanda

ISBN13

9783319994826

N° edición

Categorías

Cálculo

Kähler Immersions of Kähler Manifolds Into Complex Space Forms (Lecture Notes of the Unione Matematica Italiana) (en Inglés)

Andrea Loi; Michela Zedda (Autor) · Springer · Tapa Blanda

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Reseña del libro "Kähler Immersions of Kähler Manifolds Into Complex Space Forms (Lecture Notes of the Unione Matematica Italiana) (en Inglés)"

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. 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 Kähler 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 Kähler geometry.