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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Prescribing sigma-2 curvature and boundary mean curvature on compact manifolds
紧致流形 sigma-2曲率 边界平均曲率
2023/11/15
On a smooth compact manifold of dimensions three and four with totally non-umbilic boundary，imposing non-negativity assumptions on curvatures of the background metric, we establish that there exists a...
VOLUME COMPARISON OF CONFORMALLY COMPACT MANIFOLDS WITH SCALAR CURVATURER≥ −n(n−1)
CONFORMALLY COMPACT MANIFOLDS called renormal-ized volume
2014/9/26
In this paper, we present a global invariant, called renormal-ized volume, which can be defined for a large class of conformally compact
manifolds. We use this definition to show a local volume compa...
New Examples of Compact Manifolds with Holonomy Spin(7)
New Examples of Compact Manifolds Holonomy Spin(7)
2011/2/21
We find new examples of compact Spin(7)-manifolds using a construction of Joyce [18, 19]. The essential ingredient in Joyce’s construction is a Calabi–Yau 4-orbifold with particular singularities admi...