Critical Riemannian metrics
Let $(M,g)$ be a compact oriented n-dimensional smooth Riemannian manifold. Consider the following quadratic Riemannian functional$$SR(g) = \int\sb{M}\ \vert R\sb{ijkl}(g)\vert \sp{2}d\mu$$which is homogeneous of degree ${n\over2}-2,$ where $R\sb{ijkl}$(g) is the curvature tensors of $(M,g)$ and $d\...
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Format: | Others |
Language: | English |
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2009
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Online Access: | http://hdl.handle.net/1911/16328 |