The present paper covers a topic placed in the framework of Abstract Differential Geometry expound in the book of A. Mallios {|it ``Geometry of Vector Sheaves''}(Vols. I-II, Kluwer, Dordrecht, 1998) combined also with the work presented in a previous paper of the author ({|it "Connections on principal sheaves''} (New Developments in Differential Geometry, Budapest 1996 (J. Szenthe Ed. ), Kluwer, 459--483, 1999). Following the abovementioned framework the author studies sheaves associated with a given principal sheaf by means of morphisms between certain sheaves of groups called {it "Lie sheaves of groups''}. Furthermore according to author's approach it is examined the connections induced on the associate sheaves and their relation with the given one. (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	Efstathios Vassiliou
Αρ. Αρθρου	16
Σελίδες	157-170
Γλώσσα	-
Λέξεις Κλειδιά	Abstract differential geometry, connections, principal and vector sheaves

On the Geometry of Associated Sheaves