Some critical almost Kähler structures
Takashi Oguro ; Kouei Sekigawa
Colloquium Mathematicae, Tome 111 (2008), p. 205-212 / Harvested from The Polish Digital Mathematics Library
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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 ℱλ,μ(J,g)=∫M(λτ+μτ*)dMg with respect to the scalar curvature τ and the *-scalar curvature τ*. We show that an almost Kähler structure (J,g) is a critical point of ℱ-1,1 if and only if (J,g) is a Kähler structure on M.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:286508 
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     title = {Some critical almost K\"ahler structures},
     journal = {Colloquium Mathematicae},
     volume = {111},
     year = {2008},
     pages = {205-212},
     zbl = {1176.53074},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-2-4}
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Takashi Oguro; Kouei Sekigawa. Some critical almost Kähler structures. Colloquium Mathematicae, Tome 111 (2008) pp. 205-212. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-2-4/