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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.
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.
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 Kähler geometry
Exercises at the end of each chapter
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 112 |
| Reihe: | Lecture Notes of the Unione Matematica Italiana |
| Inhalt: |
x
100 S. 6 s/w Illustr. 100 p. 6 illus. |
| ISBN-13: | 9783319994826 |
| ISBN-10: | 3319994824 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-99482-6 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Zedda, Michela
Loi, Andrea |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Lecture Notes of the Unione Matematica Italiana |
| Maße: | 235 x 155 x 7 mm |
| Von/Mit: | Michela Zedda (u. a.) |
| Erscheinungsdatum: | 11.10.2018 |
| Gewicht: | 0,184 kg |
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 Kähler geometry
Exercises at the end of each chapter
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 112 |
| Reihe: | Lecture Notes of the Unione Matematica Italiana |
| Inhalt: |
x
100 S. 6 s/w Illustr. 100 p. 6 illus. |
| ISBN-13: | 9783319994826 |
| ISBN-10: | 3319994824 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-99482-6 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Zedda, Michela
Loi, Andrea |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Lecture Notes of the Unione Matematica Italiana |
| Maße: | 235 x 155 x 7 mm |
| Von/Mit: | Michela Zedda (u. a.) |
| Erscheinungsdatum: | 11.10.2018 |
| Gewicht: | 0,184 kg |
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