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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Bibliographic Details
Main Author: Chang, Shun-Cheng
Other Authors: Gao, L. Zhiyong
Format: Others
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/1911/16328