Vol.3, No 14, 2003 pp. 791-804
UDC 514.763.4+514.74+514.743.4
Invited Paper
LOCALLY CONFORMALLY KÄHLER MANIFOLDS
OF CONSTANT TYPE AND J-INVARIAN CURVATURE
TENSOR
Mileva Prvanović
Serbian Academy of Sciences and Arts
11000 Beograd, Knez Mihailova 35
Abstract. We find the metrics of all locally conformally Kähler
manifolds of constant type and J-invariant curvature tensor and discuss
the corresponding conformal invariants.
Key words: locally conformally Kähler manifold, almost
Hermitian manifold of constant type, J-invarian curvature tensor, Bochner
and generalized Bochner tensor, complex concircular curvature tensor.
LOKALNO KONFORMNE KÄHLEROVE MNOGOSTRUKOSTI
TIPA KONSTANTE I J-INVARIJANTNOG TENZORA KRIVINE
U radu su odredjene metrike svih lokalno konformnih Kählerovih mnogostrukosti
tipa konstante i J-invarijantnog tenzora krivine i diskutovane odgovarajuće
conformalne invarijante.
Ključne reči: Lokalno konformna Kählerova mnogostrukost,
skoro Hermitian mnogostrukost tipa konstante, J-invarijantni tenzor krivine,
Bochnerov i generalisani Bochner-ov tenzor, kompleksni kocirkularni tenzor
krivine.
