| 書目名稱 | K?hler Immersions of K?hler Manifolds into Complex Space Forms |
| 編輯 | Andrea Loi,Michela Zedda |
| 視頻video | http://file.papertrans.cn/542/541469/541469.mp4 |
| 概述 | Winner 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 |
| 叢書名稱 | Lecture Notes of the Unione Matematica Italiana |
| 圖書封面 |  |
| 描述 | .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...?. |
| 出版日期 | Book 2018 |
| 關(guān)鍵詞 | Complex space forms; Homogeneous metrics; K?hler metrics; K?hler immersions; K?hler-Einstein metrics |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-99483-3 |
| isbn_softcover | 978-3-319-99482-6 |
| isbn_ebook | 978-3-319-99483-3Series ISSN 1862-9113 Series E-ISSN 1862-9121 |
| issn_series | 1862-9113 |
| copyright | Springer Nature Switzerland AG 2018 |
|Archiver|手機(jī)版|小黑屋|
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