Geodesic
Some critical almost Kähler structures
Takashi Oguro1 ; Kouei Sekigawa2
1Department of Mathematical Sciences School of Science and Engineering Tokyo Denki University Saitama, 350-0394, Japan
2Department of Mathematics Faculty of Science Niigata University Niigata, 950-2181, Japan
Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 205-212
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We consider the set of all almost Kähler structures $(g,J)$ on a $2n$-dimensional compact orientable manifold $M$ and study a critical point of the functional ${\scr F}_{\lambda,\mu}(J,g) = \int_M (\lambda \tau + \mu \tau^*)\, dM_g$ with respect to the scalar curvature $\tau$ and the $*$-scalar curvature $\tau^*$. We show that an almost Kähler structure $(J,g)$ is a critical point of ${\scr F}_{-1,1}$ if and only if $(J,g)$ is a Kähler structure on $M$.
DOI : 10.4064/cm111-2-4
Keywords: consider set almost hler structures n dimensional compact orientable manifold study critical point functional scr lambda int lambda tau tau * respect scalar curvature tau * scalar curvature tau * almost hler structure critical point scr only hler structure nbsp

Takashi Oguro  1   ; Kouei Sekigawa  2

1 Department of Mathematical Sciences School of Science and Engineering Tokyo Denki University Saitama, 350-0394, Japan
2 Department of Mathematics Faculty of Science Niigata University Niigata, 950-2181, Japan 
@article{10_4064_cm111_2_4,
     author = {Takashi Oguro and Kouei Sekigawa},
     title = {Some critical almost {K\"ahler} structures},
     journal = {Colloquium Mathematicum},
     pages = {205--212},
     year = {2008},
     volume = {111},
     number = {2},
     doi = {10.4064/cm111-2-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm111-2-4/}
}
TY  - JOUR
AU  - Takashi Oguro
AU  - Kouei Sekigawa
TI  - Some critical almost Kähler structures
JO  - Colloquium Mathematicum
PY  - 2008
SP  - 205
EP  - 212
VL  - 111
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm111-2-4/
DO  - 10.4064/cm111-2-4
LA  - en
ID  - 10_4064_cm111_2_4
ER  - 
%0 Journal Article
%A Takashi Oguro
%A Kouei Sekigawa
%T Some critical almost Kähler structures
%J Colloquium Mathematicum
%D 2008
%P 205-212
%V 111
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm111-2-4/
%R 10.4064/cm111-2-4
%G en
%F 10_4064_cm111_2_4
Takashi Oguro; Kouei Sekigawa. Some critical almost Kähler structures. Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 205-212. doi: 10.4064/cm111-2-4

Cité par Sources :