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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Isometric embedding and fluid mechanics
等距嵌入 流体力学 理论流体力学
2023/5/10
In this talk, I first discuss isometric embedding from differential geometry and its relation with fluid mechanic equations. Then I will present recent progress and my works on isometric embeddings of...
A quasi-isometric embedding theorem for groups
quasi-isometric embedding theorem groups Group Theory
2012/3/1
We show that every group $H$ of at most exponential growth with respect to some left invariant metric admits a bi-Lipschitz embedding into a finitely generated group $G$ such that $G$ is amenable (res...
On the Local Isometric Embedding in R^3 of Surfaces with Gaussian Curvature of Mixed Sign
Local Isometric Embedding R^3 of Surfaces Gaussian Curvature of Mixed Sign
2010/12/15
We study the old problem of isometrically embedding a 2-dimensional Rie-mannian manifold into Euclidean 3-space. It is shown that if the Gaussian curvature vanishes to finite order and its zero set co...
Generalized universal theorem of isometric embedding
Mazur-Ulam theorem Figiel’s lemma Universal theorem
2010/9/17
Universal theorem is an important theorem, in this paper, Figiel’s lemma that concerns the isometric embedding from a Banach space X into the continuous space C(L) are extended. That is a form of exte...