Geodesic
The Abbena-Thurston Manifold as a Critical Point
Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 352-359

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

The Abbena-Thurston manifold (M,g) is a critical point of the functional where Q is the Ricci operator and R is the scalar curvature, and then the index of I(g) and also the index of — I(g) are positive at (M,g).
DOI : 10.4153/CMB-1996-042-3
Mots-clés : Primary: 58E11, Secondary: 53C15, 53C25 
Park, Joon-Sik; Oh, Won Tae. The Abbena-Thurston Manifold as a Critical Point. Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 352-359. doi: 10.4153/CMB-1996-042-3
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[1] 1. Abbena, E., An example of an almost Kähler manifold which is not Kàhlerian, Bollettino U.M.I. 3-A( 1984), 383–392. Google Scholar

[2] 2. Berger, M., Quelqes formules de variation pour une structure riemannienne, Ann. Sci. Ecole Norm. Sup. (4)3(1970), 285–294. Google Scholar

[3] 3. Blair, D. E. and Ianus, S., Critical associated metric on symplectic manifolds, Contemp. Math. 51(1986), 23–29. Google Scholar

[4] 4. Muté, Y., On Einstein metrics, J. Dill Geom. 9(1974), 521–530. Google Scholar

[5] 5. Muté, Y., Curvature and critical Riemannian metrics, J. Math. Soc. Japan, 26(1974), 686–697. Google Scholar

[6] 6. Wood, C. M., Harmonic almost Hermitian structures, to appear. Google Scholar

[7] 7. Yano, K., Differential geometry on complex and almost complex spaces, Pergamon Press, New York, 1965. Google Scholar

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