局部共形辛和Kähler几何

IF 1.3 Q1 MATHEMATICS
Giovanni Bazzoni
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引用次数: 18

摘要

本笔记的目的是介绍局部共形辛几何和Kahler几何。特别是,第1节和第3节旨在为读者提供足够的数学背景来理解这种几何。局部共形Kahler几何的参考书是Sorin Dragomir和Liviu Ornea的《局部共形Kahler几何》。然而,这一领域的许多进展是在本书出版后完成的,因此没有包含在这里。另一方面,没有关于局部共形辛几何的书,许多最新的进展散落在文献中。第2节和第4节将演示如何使用这些几何图形为根植于古典和现代物理学的思想提供精确的数学公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Locally conformally symplectic and Kähler geometry
The goal of this note is to give an introduction to locally conformally symplectic and Kahler geometry. In particular, Sections 1 and 3 aim to provide the reader with enough mathematical background to appreciate this kind of geometry. The reference book for locally conformally Kahler geometry is "Locally conformal Kahler Geometry" by Sorin Dragomir and Liviu Ornea. Many progresses in this field, however, were accomplished after the publication of this book, hence are not contained there. On the other hand, there is no book on locally conformally symplectic geometry and many recent advances lie scattered in the literature. Sections 2 and 4 would like to demonstrate how these geometries can be used to give precise mathematical formulations to ideas deeply rooted in classical and modern Physics.
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来源期刊
CiteScore
2.30
自引率
0.00%
发文量
4
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