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微分几何11-曲面的Gauss映照、一点处的二次曲面近似;全脐点曲面、直纹面
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主要内容:三维欧氏空间曲线曲面的局部理论。 教材:《微分几何》,彭家贵,陈卿,高等级教育出版社,2002。 课时原因,有的内容不会涉及或不会讲太细,如渐近线、包络等,可参考其他教材。 先修要求:微积分、线性代数;微分方程基本知识(非必须) 手写讲稿: https://pan.baidu.com/s/1npD-clzmaFq5Ulqemi8rog 提取码: pkh3
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微分几何8-曲面的第二基本形式
微分几何10-Weingarten变换与主曲率、Gauss曲率、平均曲率
微分几何7-曲面的第一基本形式
微分几何习题选讲(III)
微分几何5-曲线论基本定理
微分几何6-曲面的定义和例子、切平面、法线
微分几何习题选讲(V)
微分几何12-曲面的例子:可展曲面,旋转曲面
微分几何习题选讲(IV)
微分几何3-曲线的定义、平面曲线
Diagonalizing the Ricci tensor-Anusha Mangala Krishnan
微分几何习题选讲(VII)
Positive scalar curvature on Spin^c manifolds and manifolds with singularities
微分几何习题选讲(VI)
微分几何4-三维欧氏空间中的曲线
Positive scalar curvature on foliations-Weiping Zhang
微分几何习题选讲(I)
Topology of spaces and moduli spaces of metrics with positive scalar curvature
微分几何习题选讲(II)
Precompactness of conformal metrics under critical curvature estimates
Brill-Lindquist-Riemann sums and their limits - Iva Stavrov Allen
微分几何习题选讲(VIII)
Collapsed spaces with local bounded covering geometry-Xiaochun Rong
Width, largeness and index theory-Rudolf Zeidler
Positive intermediate Ricci curvature with symmetries-Lawrence Mouillé
Geometric comparison theorems for scalar curvature-Chao Li
Scalar positive immersions - Bernhard Hanke
An introduction to harmonic Finsler manifolds - Ebtsam Taha
On the 2-systole of stretched p.s.c metrics on S^2xS^2-Thomas Richard
Eigenvalues of the Laplace-operator with weights - Aïssatou Ndiaye
微分几何2-三维欧氏空间与合同变换
Sewing Sequences of Riemannian Manifolds with Scalar Curvature
A long neck principle for Riemannian spin manifolds with PSC
Pointwise lower scalar curvature bounds for $C^0$ metrics-Paula Burkhardt-Guim
R>0 for Open Manifolds, and the Positive Mass Conjecture with Bends
Modified scalar curvature flow - Ling Xiao
On constant Q-curvature metrics with isolated singularities-Jesse Ratzkin
Functional Analysis and Metric Geometry - Nicola Gigli
Volume Above Distance Below with and without Boundary and Applications
2-21在线教学测试剪辑-直纹面例子