Geodesic
A note on holomorphic sectional curvature of a hermitian manifold
Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 739-745

Voir la notice de l'article provenant de la source Cambridge

DOI

As is well known, the holomorphic sectional curvature is just half of the sectional curvature in a holomorphic plane section on a Kähler manifold (Zheng, Complex differential geometry (2000)). In this article, we prove that if the holomorphic sectional curvature is half of the sectional curvature in a holomorphic plane section on a Hermitian manifold then the Hermitian metric is Kähler.
DOI : 10.1017/S0017089522000064
Mots-clés : holomorphic sectional curvature, sectional curvature, Kahler manifold 
Li, Hongjun; Qiu, Chunhui. A note on holomorphic sectional curvature of a hermitian manifold. Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 739-745. doi: 10.1017/S0017089522000064
@article{10_1017_S0017089522000064,
     author = {Li, Hongjun and Qiu, Chunhui},
     title = {A note on holomorphic sectional curvature of a hermitian manifold},
     journal = {Glasgow mathematical journal},
     pages = {739--745},
     year = {2022},
     volume = {64},
     number = {3},
     doi = {10.1017/S0017089522000064},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000064/}
}
TY  - JOUR
AU  - Li, Hongjun
AU  - Qiu, Chunhui
TI  - A note on holomorphic sectional curvature of a hermitian manifold
JO  - Glasgow mathematical journal
PY  - 2022
SP  - 739
EP  - 745
VL  - 64
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000064/
DO  - 10.1017/S0017089522000064
ID  - 10_1017_S0017089522000064
ER  - 
%0 Journal Article
%A Li, Hongjun
%A Qiu, Chunhui
%T A note on holomorphic sectional curvature of a hermitian manifold
%J Glasgow mathematical journal
%D 2022
%P 739-745
%V 64
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000064/
%R 10.1017/S0017089522000064
%F 10_1017_S0017089522000064

Cité par Sources :