Minimal Volume of Manifold 流形的极小体积
Sufficient conditions for a simply-connected domain of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature to be stable were proved.
证明了拟常曲率流形中二维极小子流形上一个单连通区域为稳定的充分条件。
Some estimates of Gaussian curvature of conformal metric of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature were obtained.
给出了拟常曲率流形中二维极小子流形的共形度量的高斯曲率之上界估计。
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