Chapter 2 introduces some propaedeutics of classic differential geometry, which include the first basic form, the second basic form, normal curvature, main curvature, mean curvature, Gauss curvature, unit normal vector, main vector, etc.

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The complete pseudo-umbilical submanifolds with parallel mean curvature vector in constant curvature space;2. In this paper,the pseudo-umbilical submanifolds with parallel mean curvature vector in pseudo-Riemannian manifold is discussed.

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Based on this property, by solving a series ODEs we construct a two-parametric family of helicoidal surfaces under cubic screw motion with prescribed mean curvature or Gauss curvature and solve an open problem left by Beneki.

基于這一點亚洲男人的天堂在线网址，當螺旋面的平均曲率或Gauss曲率為給定光滑函數(shù)時，本文選取偽正交標架国产天天干视频自拍，使得兩類螺旋面的平均曲率和Gauss曲率的表達式相對簡化无码又爽又刺激免费视频，通過求解一系列的非線性常微分方程，即可確定一族生成曲線久久久久久久妓女精品影院，從而最終確定平均血率或Gauss曲率為給定光滑函數(shù)的雙參數(shù)族螺旋面久久精品国产精品久久人，并在這一過程中解決了Beneki等人留下的一個公開問題。

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曲面国产三级精品视频，給出了具有常平均曲率永久黄网站色视频免费费、高斯曲率及相關平均曲率和高斯曲率的這類曲面的分類。

Some properties of inversions are proved, It indicates that the inversion is conformal, the image of line of curvature is still the line of curvature of the inversion S of the hypersurface S, the principal curvature, the total curvature, and mean curvature of S are the functions...

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Then, the first and second fundamental forms, Gaussian curvature and mean curvature of the surfaces are directly calculated according to the principles of differential geometry.

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Then, based on the mean curvature, Gaussian curvature and the function of principal curvature, the minimal loci of the principal normal surfaces of curves, the curves with constant Gaussian curvature and the two curves of which the ratio of their functions is constant can all be obtained, as well as the properties of geodesic curve and lumbar curve.

再根據平均曲率www.850ppcom、高斯曲率及主曲率函數(shù)，能得到曲線的主法線曲面的極小軌跡在线观看Www.、常高斯曲率曲線及兩個主曲率函數(shù)之比為常數(shù)的曲線欧美国产黄色一级。還給出曲面上測地線和腰曲線的性質。

The approach of solving mean curvature,Gaussian curvature and principal curvatures of general triangular mesh model was derived.Considering coarse triangular mesh model is often seen,in order to increase the precision of curvatures,combined with Loop subdivision algorithm,the curvature algorithm was further extended.

推導了一般三角形網格模型頂點的平均曲率玖色综合、高斯曲率和主曲率的計算方法国产超黄色视频，考慮到經常遇到粗糙三角形網格模型，為提高其曲率計算方法的精度潮吹国产，結合Loop細分曲面算法小黄片真人视频毛片，進一步拓展了該曲率計算方法。

Considering coarse triangularmesh model is often seen, in order to increase the p recision of curvatures,combined with Loop subdivision algorithm, the curvature algorithm was further extended.

推導了一般三角形網格模型頂點的平均曲率殴美视频二区性爱、高斯曲率和主曲率的計算方法国产欧美亚洲精品a第二页，考慮到經常遇到粗糙三角形網格模型，為提高其曲率計算方法的精度午夜大香焦，結合Loop 細分曲面算法9876se.色，進一步拓展了該曲率計算方法。

Its implementation processes include:①to perform wavelet transform and frequency decomposition and reconstruction to gain the seismic data with high quality;②to adopt least square method to approach and fit the local secondary curved face, and compute the fit coefficients of the secondary curved face, then use these coefficients to gridding mapping bed plane to compute the average curvature and Gauss curvature, then, obtain other curvatures through the various linear combinations of the two curvatures above;③to generalize the curvature of the bed layer to compute and reconstruct the curvature volume.

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