英语词典
This paper makes an extension of the map from a sphere into an euclidean space to the mapof a sphere into a smooth manifold by means of the cyclic transformation theory of algebraic topology, gaining Borsuk-Ulam type of theorem.
应用代数拓扑学中周期变换的理论,将球面到欧氏空间的映射推广到从球面到光滑流形映射的情形,从而得到了Brosuk-Ulam型定理。
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linear parabolic equation on smooth compact boundaryless manifold
光滑无边紧流形上的线性抛物方程
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