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The Abbena-Thurston Manifold as a Critical Point

Published online by Cambridge University Press:  20 November 2018

Joon-Sik Park  and
Won Tae Oh
Joon-Sik Park
Affiliation:
Department of Mathematics, Pusan University of Foreign Studies, Nam-Gu, Pusan, 608-738, Korea, e-mail:iohpark@taejo.pufs.ac.kr
Won Tae Oh
Affiliation:
Department of Mathematics, Chungbuk National University, Chingju 360-763, Korea
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Abstract

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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).

Keywords

Primary: 58E11Secondary: 53C1553C25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 3 , 01 September 1996 , pp. 352 - 359
Copyright
Copyright © Canadian Mathematical Society 1996

References

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. Berger, M., Quelqes formules de variation pour une structure riemannienne, Ann. Sci. Ecole Norm. Sup. (4)3(1970), 285–294.Google Scholar
3. Blair, D. E. and Ianus, S., Critical associated metric on symplectic manifolds, Contemp. Math. 51(1986), 23–29.Google Scholar
4. Muté, Y., On Einstein metrics, J. Dill Geom. 9(1974), 521–530.Google Scholar
5. Muté, Y., Curvature and critical Riemannian metrics, J. Math. Soc. Japan, 26(1974), 686–697.Google Scholar
6. Wood, C. M., Harmonic almost Hermitian structures, to appear.Google Scholar
7. Yano, K., Differential geometry on complex and almost complex spaces, Pergamon Press, New York, 1965.Google Scholar