Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 3
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- Pages.421-431
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
CRITICAL KAHLER SURFACES
Abstract
We characterize real 4-dimensional Kahler metrices which are critical for natural quadratic Riemannian functionals defined on the space of all Riemannian metrics. In particular we show that such critical Kahler surfaces are either Einstein or have zero scalar curvature. We also make some discussion on criticality in the space of Kahler metrics.