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国家自然科学基金(11201318)

作品数:2 被引量:3H指数:1
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On the Rigidity Theorems for Lagrangian Translating Solitons in Pseudo-Euclidean Space Ⅰ被引量:1
2013年
Let f be a smooth strictly convex solution ofdefined on a domain Ω C R^n, where ai, bi and c are constants. Then the graph Mvf of △f is a spacelike translating soliton for mean curvature flow in pseudo-Euclidean space with the translating vector(al, a2, . ., an; bz, b2, , bn). In this paper, we will use alCfine technique to show a Berustein Theorem: if the graph Mvf is complete, then f(x) must be a quadratic polynomial and Mvf is an ailine n-plane.
Rui Wei XURong Li HUANG
A Note of the Hyperovaloid Characterization被引量:2
2013年
: Let Lτ be the r-th affiue mean curvature of a hyperovaloid ia A^n+1, in this paper,we prove that if Lτ≠0 and for some fixed1〈i1〈…〈iτ〈n,i=1∑τLij=Ceverywhereon M, then M must be an ellipsoid, where C is a constant.
WANG Bao-fu SHENG Li
关键词:ELLIPSOID
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