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Locally homogeneous critical metrics on four-dimensional manifolds

강유태
대한수학회 (The Korean Mathematical Society)|2007.01|대한수학회지 (Journal of the KMS)|제44권 제1호|pp. 109-127

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참고문헌

키워드

critical metricphrases. locally homogeneous metricL2-norm curvature functional
주제분류수학

초록

We clasify complete, localy homogeneous metrics with -nite volume on four-dimensional manifolds which are critic al points forthe squared L2-norm functionals of either the ful Riemanian curvaturetensor or the Weyl curvature tensor dened on the space of Riemanianmetrics.

Abstract

We clasify complete, localy homogeneous metrics with -nite volume on four-dimensional manifolds which are critic al points forthe squared L2-norm functionals of either the ful Riemanian curvaturetensor or the Weyl curvature tensor dened on the space of Riemanianmetrics.

참고문헌 (16)

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