Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1114.53027
Calvaruso, Giovanni
Conformally flat semi-symmetric spaces. (English)
[J] Arch. Math., Brno 41, No. 1, 27-36 (2005). ISSN 0044-8753; ISSN 1212-5059/e

A semi-symmetric space is a Riemannian manifold $(M,g)$ such that its curvature tensor $R$ satisfies the condition $R(X,Y). R =0$. It is well-known that locally symmetric spaces are semi-symmetric but the converse is not true. In the paper the following classification theorem is proved: A conformally flat semi-symmetric space (of dimension $n>2$) is either locally symmetric or it is locally irreducible and isometric to a semi-symmetric real cone.
[Josef Janyška (Brno)]

MSC 2000:: *53C15 Geometric structures on manifolds
53C25 Special Riemannian manifolds
53C35 Symmetric spaces (differential geometry)

Keywords: semi-symmetric space

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]