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.
