Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves

Author： Lebrun Claude  

Publisher： Springer Publishing Company

ISSN： 0232-704X

Source： Annals of Global Analysis and Geometry, Vol.28, Iss.2, 2005-09, pp. : 157-177

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

Let (M4, g,ω) be a compact, almost-Kähler–Einstein manifold of negative star-scalar curvature. Then (M,ω) is a minimal symplectic 4-manifold of general type. In particular, M cannot be differentiably decomposed as a connected sum $$N\,{\#}\,\overline{\mathbb{CP}}_2$$ .

Related content

Moving Symplectic Curves in Kähler-Einstein Surfaces

By Chen Jingyi   Tian Gang  

Acta Mathematica Sinica, Vol. 16, Iss. 4, 2000-10 ,pp. : 541-548 (8)

Springer Publishing Company

Access to resources Recommend Favorite

Uniform domains on holomorphic curves

By Arbeláez Hugo   Chuaqui Martin   Sierra Willy  

Complex Variables and Elliptic Equations, Vol. 60, Iss. 7, 2015-07 ,pp. : 1015-1031 (17)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Holomorphic curves in the complex quadric

By  

Bulletin of the Australian Mathematical Society, Vol. 35, Iss. 1, 1987-02 ,pp. : 125-148 (24)

Cambridge University Press

Access to resources Recommend Favorite

Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces

By  

Journal of the Institute of Mathematics of Jussieu, Vol. 9, Iss. 1, 2010-01 ,pp. : 125-153 (29)

Cambridge University Press

Access to resources Recommend Favorite

Holomorphic curves in the orthogonal twistor space

By  

Bulletin of the Australian Mathematical Society, Vol. 44, Iss. 3, 1991-12 ,pp. : 483-499 (17)

Cambridge University Press

Access to resources Recommend Favorite