Principles of Locally Conformally Kahler Geometry
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916511224954880 |
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| author | Ornea, Liviu Verbitsky, Misha |
| author_facet | Ornea, Liviu Verbitsky, Misha |
| contents | An LCK (locally conformally Kahler) manifold is a complex manifold admitting a Kahler covering with monodromy acting by homotheties. Hopf manifolds and their submanifolds are the prime examples. This book presents an introduction to the principles of LCK geometry (the first two parts) and its current situation (the last part). It is supposed to be accessible to master and graduate students of complex geometry. The book contains many exercises of different levels of difficulty. We finish it by a list of open questions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_07188 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Principles of Locally Conformally Kahler Geometry Ornea, Liviu Verbitsky, Misha Differential Geometry Algebraic Geometry Complex Variables 53C55, 32Q15, 32Q99 An LCK (locally conformally Kahler) manifold is a complex manifold admitting a Kahler covering with monodromy acting by homotheties. Hopf manifolds and their submanifolds are the prime examples. This book presents an introduction to the principles of LCK geometry (the first two parts) and its current situation (the last part). It is supposed to be accessible to master and graduate students of complex geometry. The book contains many exercises of different levels of difficulty. We finish it by a list of open questions. |
| title | Principles of Locally Conformally Kahler Geometry |
| topic | Differential Geometry Algebraic Geometry Complex Variables 53C55, 32Q15, 32Q99 |
| url | https://arxiv.org/abs/2208.07188 |