论文标题
正弦角的光谱，刚度和稳定性
Spectra, rigidity and stability of sine-cones
论文作者
论文摘要
我们计算Laplace-Beltrami操作员的光谱，1形式的Laplacian和Einstein操作员在正弦角上的对称性2张仪上的Einstein oberator上，在Einstein阳性歧管（M，G）$上。我们得出结论，在$（m，g）$的哪些条件下，正弦孔在奇异的ricci-de turck流动下动态稳定，刚性作为单数爱因斯坦歧管
We compute the spectra of the Laplace-Beltrami operator, the connection Laplacian on 1-forms and the Einstein operator on symmetric 2-tensors on the sine-cone over a positive Einstein manifold $(M, g)$. We conclude under which conditions on $(M,g)$, the sine-cone is dynamically stable under the singular Ricci-de Turck flow and rigid as a singular Einstein manifold
