Holonomy Classification of Lorentz-Kähler Manifolds
نویسندگان
چکیده
منابع مشابه
Holonomy Theory and 4-dimensional Lorentz Manifolds
This lecture describes the holonomy group for a 4-dimensional Hausdorff, connected and simply connected manifold admitting a Lorentz metric and shows, briefly, some applications to Einstein’s space-time of general relativity. 1. Holonomy Theory on 4-Dimensional Lorentz Manifolds. Let M be a 4-dimensional, smooth, Hausdorff, connected, and simply connected manifold admitting a smooth Lorentz met...
متن کاملHolonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds⋆
A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results connecting projective relatedness and the holonomy type of the Lorentz manifold in question is given. This necessitates a review of the possib...
متن کاملKähler (& Hyper-kähler) Manifolds
These notes are based on two talks given at the Arithmetic & Algebraic Geometry Seminar of the Korteweg-de Vriesinstituut for mathematics of the Universiteit van Amsterdam. They are intended to give a short introduction to the theory of Kähler manifolds, with a slight focus of applicability to the subject of K3 surfaces. However, they also include other interesting results not related to K3 sur...
متن کاملHolonomy groups of Lorentzian manifolds
In this paper, a survey of the recent results about the classification of the connected holonomy groups of the Lorentzian manifolds is given. A simplification of the construction of the Lorentzian metrics with all possible connected holonomy groups is obtained. As the applications, the Einstein equation, Lorentzian manifolds with parallel and recurrent spinor fields, conformally flat Walker met...
متن کاملStrictly Kähler-Berwald manifolds with constant holomorphic sectional curvature
In this paper, the authors prove that a strictly Kähler-Berwald manifold with nonzero constant holomorphic sectional curvature must be a Kähler manifold.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2018
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-018-0027-1