Geodesic
FOUR-MANIFOLDS WITH POSITIVE CURVATURE
Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 245-257

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

DOI

In this note, we prove that a four-dimensional compact oriented half-conformally flat Riemannian manifold M4 is topologically $\mathbb{S}^{4}$ or $\mathbb{C}\mathbb{P}^{2}$, provided that the sectional curvatures all lie in the interval $\left[ {{{3\sqrt {3 - 5} } \over 4}, 1} \right]$ In addition, we use the notion of biorthogonal (sectional) curvature to obtain a pinching condition which guarantees that a four-dimensional compact manifold is homeomorphic to a connected sum of copies of the complex projective plane or the 4-sphere. 
DIÓGENES, R.; RIBEIRO, E.; RUFINO, E. FOUR-MANIFOLDS WITH POSITIVE CURVATURE. Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 245-257. doi: 10.1017/S0017089520000130
@article{10_1017_S0017089520000130,
     author = {DI\'OGENES, R. and RIBEIRO, E. and RUFINO, E.},
     title = {FOUR-MANIFOLDS {WITH} {POSITIVE} {CURVATURE}},
     journal = {Glasgow mathematical journal},
     pages = {245--257},
     year = {2021},
     volume = {63},
     number = {2},
     doi = {10.1017/S0017089520000130},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000130/}
}
TY  - JOUR
AU  - DIÓGENES, R.
AU  - RIBEIRO, E.
AU  - RUFINO, E.
TI  - FOUR-MANIFOLDS WITH POSITIVE CURVATURE
JO  - Glasgow mathematical journal
PY  - 2021
SP  - 245
EP  - 257
VL  - 63
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000130/
DO  - 10.1017/S0017089520000130
ID  - 10_1017_S0017089520000130
ER  - 
%0 Journal Article
%A DIÓGENES, R.
%A RIBEIRO, E.
%A RUFINO, E.
%T FOUR-MANIFOLDS WITH POSITIVE CURVATURE
%J Glasgow mathematical journal
%D 2021
%P 245-257
%V 63
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000130/
%R 10.1017/S0017089520000130
%F 10_1017_S0017089520000130

Cité par Sources :