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  • 怎样评价庞加莱(Henri Poincaré)? - 知乎
    庞加莱引理(Poincaré’s lemma)有如此高的地位, 可用作数学家的判据,估计会让许多人感到惊讶。庞加莱引理谈论的是开单位球上微分形式的零调性质。若U是Rn空间的开球,Ek(U)是U上的微分k-形式(differential k-form)空间,则对于k≥1, 存在线性变换
  • 怎样评价庞加莱(Henri Poincaré)? - 知乎
    怎样评价庞加莱(Henri Poincaré)? 评价数学家第二季。 附带想求证一下:据说庞家莱每年教授一门不同的课,而且在每门课教授过程中都会有自己证明的定理,是不是真的?
  • differential geometry - Poincaré Lemma Contractible Hypothesis . . .
    Poincaré's Lemma is often stated as saying that a closed differential form on a star-shaped domain is exact More generally, it is true that a closed differential form on a contractible domain is exact What I am wondering is if there is an easy example of a closed differential form on a simply connected domain which is not exact
  • algebraic geometry - Construction of Poincaré line bundles . . .
    $\DeclareMathOperator{\Sym}{Sym} \DeclareMathOperator{\Pic}{Pic} \DeclareMathOperator{\id}{id}$ I'm studying the construction of Poincaré line bundles from [1
  • differential geometry - Poincarés Lemma on simply connected sets . . .
    The well-known Poincaré's Lemma states that every closed k-form, which is defined on a contractible set, is also exact In the lecture we have learned the concept of simply connected sets, which are more general sorts of spaces (any contractible set is also simply connected but not vice versa) Furthermore it was shown that every closed 1
  • 请问这两个庞加莱期刊怎么样? - 知乎
    Ann Inst H Poincaré C Anal Non Linéaire和Annales Henri Poincaré A Journal of Theoretical a…
  • 如何理解庞加莱对偶(Poincare Duality)? - 知乎
    在初学者看来 Poincare duality 是一个关于紧的可定向的拓扑流形的同调和上同调之间的微妙关系,证明也很精巧,也许用胞腔剖分 - 对偶剖分加上一些组合性质就能证明出来,但是即使是专家除了个别人也不会记得住这里的细节,而且这个细节很没启发性(比如,看完证明不深入思考很难理解哪一步用
  • Distance in Poincaré disc - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • Poincaré inequaility for a ball - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers





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