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Warped product Einstein metrics over spaces with constant scalar curvature
Warped product Einstein metrics spaces constant scalar curvature
2011/2/21
In this paper we study warped product Einstein metrics over spaces with constant scalar curvature. We call such a manifold rigid if the universal cover of the base is Einstein or is isometric to a pro...
Constant Scalar Curvature Metrics on Boundary Complexes of Cyclic Polytopes
Regge, Einstein-Hilbert, piecewise
2010/12/7
In [7], a notion of constant scalar curvature metrics on piecewise at manifolds is de ned. Such metrics are candidates for canonical metrics on discrete manifolds. In this paper, we de ne a class of v...
Rigidity Theorem of Hypersurfaces with Constant Scalar Curvature in a Unit Sphere
principal curvature Clifford torus Gauss equations
2007/12/12
In this paper, we give a characterization of tori $S^1\left(\sqrt{\frac{nr+2-n}{nr}}\right)\times S^{n-1}\left(\sqrt{\frac{n-2}{nr}}\right)$ and $S^m\left(\sqrt{\frac{m}{n}}\right)\times S^{n-m}\left(...