The main result of this paper gives a characterization of complex 2-dimensional cohomological Einstein Kaehler manifolds. As a consequence we obtain some interesting restrictions for the constructions of cohomological Einstein metrics on complex 2-manifolds.
Inequalities for cohomology classes of Kaehler manifolds
β Scribed by Hillel Gauchman
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 183 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0046-5755
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β¦ Synopsis
A set of inequalities for deRham cohomology classes of Kaehler manifolds is proved. As an application, an inequality for Cliern numbers of a Kaehler manifold is obtained.
π SIMILAR VOLUMES
The cohomology groups of the Seifert manifolds are well known. In this article a method is given to compute the cup products in the cohomology ring of any orientable Seifert manifold whose associated orbit surface is S 2 , and for any coefficients. In particular the Z/2 cohomology ring is completely
Such local formulae have been discussed in the real case in [ 1, 31. We can construct maps of order 2m by taking combinations of Chern classes on M and E. Such maps will map metrics g, h to 2m forms and will vanish identically on all manifolds of the form M = T, >( Nzme2 where g, h are product metri