Let MR<sup>n+1</sup> be a compact connected smooth hypersurface, and WR<sup>n+1</sup> be the area bounded by M. We study the question: Does W contain a principal centre of curvature for some po...Let MR<sup>n+1</sup> be a compact connected smooth hypersurface, and WR<sup>n+1</sup> be the area bounded by M. We study the question: Does W contain a principal centre of curvature for some point of M?展开更多
Let c : SU(n) → PSU(n) = SU(n)/Zn be the quotient map of the special unitary group SU(n) by its center subgroup Z_n. We determine the induced homomorphism c*: H*(PSU(n)) → H*(SU(n)) on cohomologies by computing with...Let c : SU(n) → PSU(n) = SU(n)/Zn be the quotient map of the special unitary group SU(n) by its center subgroup Z_n. We determine the induced homomorphism c*: H*(PSU(n)) → H*(SU(n)) on cohomologies by computing with the prime orders of binomial coefficients.展开更多
文摘Let MR<sup>n+1</sup> be a compact connected smooth hypersurface, and WR<sup>n+1</sup> be the area bounded by M. We study the question: Does W contain a principal centre of curvature for some point of M?
基金supported by National Natural Science Foundation of China(Grant Nos.11131008,11401098 and 11661131004)National Basic Research Program of China(973 Program)(Grant No.2011CB302400)
文摘Let c : SU(n) → PSU(n) = SU(n)/Zn be the quotient map of the special unitary group SU(n) by its center subgroup Z_n. We determine the induced homomorphism c*: H*(PSU(n)) → H*(SU(n)) on cohomologies by computing with the prime orders of binomial coefficients.