Από το τεύχος 44 του περιοδικού Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The aim of the present paper is to study the resulting normal to the orbits distribution by considering isometric actions on Riemannian manifolds. In particular in this paper the author gives some new fibring results by relating basic connections to locally splitting actions. As an application it is described the 3-manifolds admitting a specific locally splitting action of codimension 1. (This paper is based on a talk presented by the author in the 4th Panellenic Conference on Geometry on "Research in Geometry and in its Teaching towards the 21st century'' taking place in the University of Patras, Greece, 28--30 May 1999.)

Στοιχεία Άρθρου

Περιοδικό	Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Αρ. Τεύχους	Τεύχος 44
Περίοδος	2000
Συγγραφέας	Dionyssios Lappas
Αρ. Αρθρου	12
Σελίδες	105-115
Γλώσσα	-
Λέξεις Κλειδιά	Basic connection, Riemannian submersion, locally splitting action

Groups of Isometric Transformations, Basic Connections and Splitting results on Riemannian Manifolds