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- normalized mean curvature vector 單位平均曲率向量
- Submanifolds with Parallel Normalized Mean Curvature Vector in a Sphere 單位球面中具平行單位平均曲率向量的子流形
- Submanifolds with parallel normalized mean curvature vector in a unit sphere 單位球面中具有平行單位平均曲率向量的子流形
- We present a smoothing algorithm based on the main direction combined with mean curvature flow and normal filter method. 本文主要提出了基于主方向的平滑算法,并結合平均曲率流算法和法向濾波算法進(jìn)行了改進(jìn)。
- In this paper,the geometry of submanifolds with parally mean curvature vector in a locally symmetric, conformally falt Riemannian manifold is studied. 本文研究局部對稱(chēng)共形平坦黎曼流形中具有平行平均曲率向量的緊致子流形的性質(zhì)。
- A method is used to approximate several differential properties, including mean curvature, Guassian curvature and main curvature on scattered-point-sampled surfaces. 摘要提出一種直接在散亂數據點(diǎn)云上計算曲面的局部微分性質(zhì),包括平均曲率、高斯曲率和主曲率。
- This paper discusses submanifolds with parallel mean curvature vector in local symmetric spaces and obtains integral invariants about the square of modulus-length. 討論局部對稱(chēng)空間中具有平行平均曲率向量的子流形;得到其關(guān)于第二基本形式模長(cháng)平方的積分不等式的相關(guān)定理.
- The auther worked out a pinching theorem of compact pesudoumbilical submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifolds. 摘要研究局部對稱(chēng)共形平坦黎曼流形中具平行平均曲率向量的緊致偽臍子流形,得到了這類(lèi)子流形模長(cháng)平方的一個(gè)拼擠定理。
- This paper discusses the space-like submanifolds with constant mean curvature in a pseudo-Riemannian space form,and obtain an integrate inequality and a rigidity theorem. 本文研究了偽黎曼空間型中具有常平均曲率的類(lèi)空子流形,得到了這類(lèi)空子流形的一個(gè)積分不等式及剛性定理。
- Normal means lack of imagination, lack of creativity. 正常就意味著(zhù)缺少想象和創(chuàng )造。
- As corollaries, some pinching problems on the submanifolds with parallel mean curvature vector in a unit sphere are discussed, which improves results obtained before. 作為推論,討論了單位球面中具有平行平均曲率向量的子流形的第二基本形式長(cháng)度的拼擠問(wèn)題,改進(jìn)了已有的結論。
- Cars have replace horses as the normal means of transport. 汽車(chē)已經(jīng)取代馬車(chē)成為日常的交通工具。
- By the algebraic estimation to the Simons-Formula, a result of submanifolds with parallel mean curvature vector in a conformally flat Riemannian manifold is provided. 通過(guò)對共形平坦空間中的Simons公式的代數估計,得到其中具有平行平均曲率向量的緊致子流形的一個(gè)拼擠性質(zhì)。
- In this paper, we mainly discuss a kind of surfaces in4- dimensional Pseudo-Euclidean Space and give the classification of such surfaces with constant mean curvature and Gauss curvature. 文章研究四維偽歐氏空間中的一類(lèi)曲面;給出了具有常平均曲率、高斯曲率及相關(guān)平均曲率和高斯曲率的這類(lèi)曲面的分類(lèi).
- The relationships between the intrinsic arid the extrinsic invariants of submanifolds in generalized complex space forms are studied, and the inequalities of the mean curvature and an intrinsic invariant are obtained. 摘要討論了廣義復空間形式的子流形的內蘊不變量與外蘊不變量之間的關(guān)系,利用高斯方程得到了子流形的平均區率這個(gè)外蘊不變量與一個(gè)內蘊不變量之間的不等式結論,給出了等式成立的充分必要條件。
- Finally a confor-mal invariability of norm integrate of the second fundamental form was obtained by using the Conformal invariability of the total mean curvature of the surface in E3 and the Gauss Bonnet theorem. 最后利用E~3中曲面的全中曲率的共形不變性以及Gauss Bonnet定理,得到了第二基本形式模方積分的共形不變性。
- The complete hypersurfaces with constant mean curvature in locally symmatric manifold are investigated, a characteristric theorem of complete hypersurface in locally symmatric manifold is obtained. 研究局部對稱(chēng)黎曼流形中的具有常中曲率的完備超曲面,得到了這類(lèi)曲面全臍的一個(gè)結果。
- In this paper, we gave an integral inequality for isometric immersed submanifolds with Parallel mean curvature vector in pinched Riemannian manifolds, and improve the result obtained by H. Q. Xu. 摘要本文對一般拼擠黎曼流形中的具有平行平均曲率向量的等距浸入子流形給出了一個(gè)積分不等式,改進(jìn)了已有的結果。
- Maybe those who keep such kind of bizarre animal as their pet have surpassed the normal meaning of pet raising. 可能那些養奇異動(dòng)物作為寵物的人已經(jīng)超越了寵物飼養的通常意義。
- ZHANG Jian-feng.On submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifold [J].J of Zhejiang University (Science Edition), 1999,26(4) :26-34. [9]張劍鋒.;局部對稱(chēng)共形平坦黎曼流形中具有平行平均曲率向量的子流形[J]