Bochner flat Kahlerian manifolds.
نویسندگان
چکیده
منابع مشابه
Twistor Spaces of Non-flat Bochner-kähler Manifolds
This can be compared to the fact that a conformally flat manifold of dimension n > 2 is locally conformal to a region of the sphere of the same dimension. In twistor theory, it is well-known that an even dimensional conformally flat manifold has an integrable twistor space ([7], [6], [1], [3]). It is interesting, as an analogy, that a Bochner-Kähler manifold has integrable twistor spaces define...
متن کاملClassification of Bochner Flat Kähler Manifolds by Heisenberg, Spherical CR Geometry
A Bochner flat Kähler manifold is a Kähler manifold with vanishing Bochner curvature tensor. We shall give a uniformization of Bochner flat Kähler manifolds. One of the aims of this paper is to give a correction to the proof of our previous paper [9] concerning uniformization of Bochner flat Kähler manifolds. A Bochner flat locally conformal Kähler manifold is a locally conformal Kähler manifol...
متن کاملLow dimensional flat manifolds with some classes of Finsler metric
Flat Riemannian manifolds are (up to isometry) quotient spaces of the Euclidean space R^n over a Bieberbach group and there are an exact classification of of them in 2 and 3 dimensions. In this paper, two classes of flat Finslerian manifolds are stuided and classified in dimensions 2 and 3.
متن کاملAlmost Flat Manifolds
1.1. We denote by V a connected ^-dimensional complete Riemannian manifold, by d = d(V) the diameter of V, and by c = c(V) and c~ = c~(V), respectively, the upper and lower bounds of the sectional curvature of V. We set c = c(V) = max (| c1, | c~ |). We say that F i s ε-flat, ε > 0, if cd < ε. 1.2. Examples. a. Every compact flat manifold is ε-flat for any ε > 0. b. Every compact nil-manifold p...
متن کاملHantzsche-Wendt flat manifolds
The purpose of this paper is consider some results concerning the special class of the flat manifolds (closed, Riemannian with zero sectional curvature) of dimension n with holonomy groups (Z 2) . In dimension two it is the Klein bottle and in dimension three it is a flat manifold first consider by Hantzsche and Wendt in [4]. Hence we shall call this class of the HantzscheWendt flat manifolds (...
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: Banach Center Publications
سال: 1984
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-12-1-219-223