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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...
Maximal multipliers on compact manifolds without boundary
Maximal multipliers compact manifolds boundary Analysis of PDEs
2012/7/11
Hormander-Mihklin type multiplier theorem on compacts manifolds withour boundary has been obtained by using the wave kernels. We consider maximal multiplies on this setting. To obtain the result, we c...
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...