Vol.4, No 17, 2005 pp. 301-309
UDC 514.763.4(045)=20

SOME QUATER-SYMMETRIC CONNECTIONS
ON KAEHLERIAN MANIFOLDS
Nevena Pušić
Faculty of Scence, University of Novi Sad Serbia and Montenegro
Email: nevena@im.ns.ac.yu

Abstract. There are two kinds of very naturaly introduced quarter-symmetric connections on both kinds of Kaehlerian spaces, elliptic and hyperbolic. Both of them are constructed over fundamental tensors and both are metric. But one of them is an F-connection (an uncompleted one) and the other one is not. In this paper, we try to construct a complete quarter-symmetric metric connection, which will be an F-connection or a "nearly" F-connection. (MSC 2002: 53A30).
Key words: Kaehlerian spaces, tensors, quarter-symmetric metric connections

IZVESNE ČETVRT-SIMETRIČNE KONEKSIJE
NA KELEROVIM MNOGOSTRUKOSTIMA
Postoje dve vrste prirodno indukovane četvrt-simetrične koneksije na obema vrstama Kelerovih prostora, eliptičnom i hiperboličnom. Obe vrste koneksija su konstruisane pomoću fundamentalnih tenzora i obe su metričke. Ali jedna od njih je F-koneksija (nekompletna) a druga nije. U ovom radu, pokušavamo da konstruišemo kompletnu četvr-simetričnu koneksiju koja bi bila F-koneksija ili skoro F-koneksija.
Ključne reči: četvrt-simetrična koneksija, metrička koneksija, F-koneksija, tenzor krivine, hiperbolička struktura.