搜索结果: 1-5 共查到“知识库 数学 scalar curvature”相关记录5条 . 查询时间(0.084 秒)
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...
Positive scalar curvature, K-area and essentialness
Positive scalar curvature K-area essentialness
2010/11/23
The Lichnerowicz formula yields an index theoretic obstruction to positive scalar curvature metrics on closed spin manifolds. The most general form of this obstruction is due to Rosenberg and takes va...
Scalar curvature and asymptotic Chow stability of projective bundles and blowups
Scalar curvature asymptotic Chow stability projective bundles blowups
2010/12/14
The holomorphic invariants introduced by Futaki as obstruction to the asymptotic Chow semistability are studied by an algebraic-geometric point of view and are shown to be the
Mumford weights of suit...
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 dened. Such metrics are candidates for canonical metrics on discrete manifolds. In this paper, we dene 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(...