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SCALAR CURVATURE FUNCTIONS OF ALMOST-K¨AHLER METRICS ON A CLOSED SOLV-MANIFOLD
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We discuss on the classification problem of symplectic manifolds into three families according to the scalar curvaturefunctions of almost K¨ahler metrics they admit. We also present a 4-dimensional solv-manifold as an example which belongs to one ofthe three families.
Abstract
We discuss on the classification problem of symplectic manifolds into three families according to the scalar curvaturefunctions of almost K¨ahler metrics they admit. We also present a 4-dimensional solv-manifold as an example which belongs to one ofthe three families.
참고문헌 (8)
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- D. E. Blair, "On the set of metrics associated to a symplectic or contact form", Bull. Inst. Math. Acad. Sin, 11, pp.297~308 (1983)
- M. Fern´andez, "Compact symplectic solvmanifolds not admitting complex structures", Geom. Dedicata, 34, pp.295~299 (1990)
- J.L. Kazdan, "Existence and conformal deformation of metrics with prescribed gaussian and scalar curvatures", Ann. of Math, 101(2), pp.317~331 (1975)
- J. Kim, "Deformation of almost K¨ahler metrics with constant scalar curvature on compact K¨ahler manifolds", Ann. Global Anal. Geom, 22, pp.49~73 (2002)
- 김종수, "A NOTE ON SCALAR CURVATURE FUNCTIONS OF ALMOST-KÄAHLER METRICS", 순수 및 응용수학, 20(3), pp.199~206 (2013), 한국수학교육학회
- D. McDuff, "Introduction to Symplectic Topology" (1998), Oxford University Press
관련 논문AI추천
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