搜索结果: 1-4 共查到“微分几何学 Convex”相关记录4条 . 查询时间(0.031 秒)
Change of Topology in Mean Convex Mean Curvature Flow
Change of Topology Mean Convex Mean Curvature Flow Differential Geometry
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2011/9/19
Abstract: Consider the mean curvature flow of an (n+1)-dimensional, compact, mean convex region in Euclidean space (or, if n<7, in a Riemannian manifold). We prove that elements of the m-th homotopy g...
The Log-Convex Density Conjecture and vertical surface area in warped products
The Log-Convex Density Conjecture vertical surface area warped products Differential Geometry
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2011/9/19
Abstract: We examine the vertical component of surface area in the warped product of a Euclidean interval and a fiber manifold with product density. We determine general conditions under which vertica...
Equidistribution of Eisenstein series on convex co-compact hyperbolic manifolds
Equidistribution of Eisenstein series convex co-compact hyperbolic manifolds Spectral Theory
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2011/9/5
Abstract: For convex co-compact hyperbolic manifolds $\Gamma\backslash \mathbb{H}^{n+1}$ for which the dimension of the limit set satisfies $\delta_\Gamma< n/2$, we show that the high-frequency Eisens...
Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in Rm+1
Exponentially harmonic map instability convex hypersurface
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2010/2/25
In this paper, we study the nonexistence problems for stable exponentially harmonic map into or from compact convex hypersurface Mm \subset Rm+1, and show that every nonconstant exponentially harmonic...