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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2013.1
- 수록면
- 199 - 206 (8page)
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We present a 4-dimensional nil-manifold as the first example of a closed non-Kählerian symplectic manifold with the following property: a function is the scalar curvature of some almost Kähler metric iff it is negative somewhere. This is motivated by the Kazdan-Warner's work on classifying smooth closed manifolds according to the possible scalar curvature functions.
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참고문헌 (13)
참고문헌 신청
A.L. Besse / 1987 / Einstein manifolds. Ergebnisse der Mathematik, 3 Folge, Band 10 / Springer-Verlag
D. McDuff / 1998 / Introduction to Symplectic Topology / Oxford University Press
D.E. Blair / 1983 / On the set of metrics associated to a symplectic or contact form / Bull. Institute of Math. Academia Sinica 11 : 297 ~ 308
E. Abbena / 1984 / An example of an almost Kahler manifold which is not Kahlerian / Boll. Un. Mat. Ital. A 3 (6) : 383 ~ 392
J. Kim / 2002 / Deformation of almost KAahler metrics with constant scalar curva-ture on compact KAahler manifolds / Ann. Global. Anal. and Geom 22 : 49 ~ 73
D. McDuff / 1998 / Introduction to Symplectic Topology / Oxford University Press
D.E. Blair / 1983 / On the set of metrics associated to a symplectic or contact form / Bull. Institute of Math. Academia Sinica 11 : 297 ~ 308
E. Abbena / 1984 / An example of an almost Kahler manifold which is not Kahlerian / Boll. Un. Mat. Ital. A 3 (6) : 383 ~ 392
J. Kim / 2002 / Deformation of almost KAahler metrics with constant scalar curva-ture on compact KAahler manifolds / Ann. Global. Anal. and Geom 22 : 49 ~ 73
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