Complex Hessian Equations on Some Compact Kähler Manifolds
On a compact connected 2m-dimensional Kähler manifold with Kähler form ω, given a smooth function f:M→ℝ and an integer 1<k<m, we want to solve uniquely in [ω] the equation ω̃k∧ωm-k=efωm, relying on the notion of k-positivity for ω̃∈[ω] (the extreme cases are solved: k=m by (Yau in 1978), and k...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/350183 |