该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形,证明了这类子流形的某些内蕴刚性定理。
In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems.
研究局部对称空间中具有常数量曲率的紧致超曲面,给出这类超曲面的一个拼挤定理,改进了相关作者的结论。
The paper discusses on the hypersurfaces in locally symmetric manifolds with constant scalar curvature and gets a pinching theorem which improves the known results.
我们把CHENG (1977),LI(1996)的结果推广到了非定空间形式中常数量曲率的类空子流形中。
The result is extended in CHENG (1977) and li (1996) to the space-like submanifolds with constant scalar curvature in an indefinite space form.
利用数量曲率与第二基本形式长度之间的一个不等式关系,证明了其子流形的截面曲率一定非负(或者为正),并将此应用到紧致子流形上,得到一些结果。
By using an inequality relation between a scalar curvature and the length of the second fundamental form, it is proved that sectional curvatures of a submanifold must be nonnegative (or positive).
基本曲率:了解多边形数量及其在创建平滑曲率中的重要性。
Basic curvature: Understanding polygon count and its importance in creating smooth curvature.
减少弯头数量和采用大曲率半径弯头;
Reducing the number of bends and adopting large curvature radius bends.
主要研究了曲率半径、宽跨比、高宽比、腹板厚度、加劲肋数量、横隔板间距等结构参数对曲线钢箱梁承载力和变形特性的影响。
The major parameters including the curvature radius, the ratio of height to span, the ratio of height to width, the thickness of web, the stiffener density and the diaphragm density are studied.
主要研究了曲率半径、宽跨比、高宽比、腹板厚度、加劲肋数量、横隔板间距等结构参数对曲线钢箱梁承载力和变形特性的影响。
The major parameters including the curvature radius, the ratio of height to span, the ratio of height to width, the thickness of web, the stiffener density and the diaphragm density are studied.
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