报告题目：The variation and W-stability of \xi-submanifolds

时间：2017年5月28日上午10:30

地点：数学与统计学院310报告厅

报告内容摘要：\xi-submanifold in the Euclidean space R^{m+p} is a natural extension of the concept of self-shrinker to the mean curvature flow in R^{m+p}. In this talk, two generalized weighted volume functionals V_\xi and \bar{V}_\xi are defined and it is proved that \xi-submanifolds can be characterized as the critical points of these two functionals; Also, we introduce the VP-variations, and the corresponding W-stability properties of \xi-submanifolds. As the main result, it is proved that m-planes are the only complete, W-stable and properly immersed \xi-submanifolds with flat normal bundle.

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