Compact homogeneous Einstein 6-manifolds
نویسندگان
چکیده
منابع مشابه
A Variational Approach for Compact Homogeneous Einstein Manifolds
Einstein metrics of volume 1 on a closed manifold can be characterized variationally as the critical points of the Hilbert action [Hi], which associates to each Riemannian metric of volume 1 the integral of its scalar curvature. As is well-known, the gradient vector of the Hilbert action with respect to the natural L2 metric is precisely the negative of the traceless Ricci tensor. Consequently,...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2003
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(03)00051-2