Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 40 (2015) no. 1
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Mileva Prvanović. Bochner-flat Kähler manifolds and Riemannian compatibility of the Ricci tensor. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 40 (2015) no. 1. http://geodesic.mathdoc.fr/item/BASS_2015_40_1_a1/
@article{BASS_2015_40_1_a1,
author = {Mileva Prvanovi\'c},
title = {Bochner-flat {K\"ahler} manifolds and {Riemannian} compatibility of the {Ricci} tensor},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {11 - 18},
year = {2015},
volume = {40},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2015_40_1_a1/}
}
TY - JOUR
AU - Mileva Prvanović
TI - Bochner-flat Kähler manifolds and Riemannian compatibility of the Ricci tensor
JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY - 2015
SP - 11
EP - 18
VL - 40
IS - 1
UR - http://geodesic.mathdoc.fr/item/BASS_2015_40_1_a1/
ID - BASS_2015_40_1_a1
ER -
%0 Journal Article
%A Mileva Prvanović
%T Bochner-flat Kähler manifolds and Riemannian compatibility of the Ricci tensor
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2015
%P 11 - 18
%V 40
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2015_40_1_a1/
%F BASS_2015_40_1_a1
In this paper we investigate Riemannian compatibility of Ricci tensor of a Bochner-flat Kähler manifold, and specially of a such manifolds which is of quasi-constant holomorphic sectional curvature. Also, we extend our consideration to manifolds without Bochner-flat condition. In all cases we found necessary and sufficient conditions on the Ricci tensor of considered manifolds to be Riemannian compatible.
