Let M be a concircularly fiat totally real minimal submanifold in CP4. The infimum Vm of the volume V （M） of M is obtained, also the necessary and sufficient conditions of ＂V（M）=Vm＂ is given.
从根分布的角度,对齐性二维球面分类结果给出比Bando和Ohnita(J Math Soc Japan,1987,39:477)更加明显的刻画,求出决定齐性二维球面的SU(2)轨道的李群多项式表示的显式表达式,证明复射影空间中SU(2)轨道的维数取决于一个对应的扩大复平...从根分布的角度,对齐性二维球面分类结果给出比Bando和Ohnita(J Math Soc Japan,1987,39:477)更加明显的刻画,求出决定齐性二维球面的SU(2)轨道的李群多项式表示的显式表达式,证明复射影空间中SU(2)轨道的维数取决于一个对应的扩大复平面系数上的一元n次方程的重根和负共轭倒数根对分布,把SU(2)轨道维数归结为黎曼球面上n个点是否重合或成为对径点的问题.也初步研究了SU(2)三维轨道性质与根分布的关系.展开更多
In this paper we essentially determine all covers {a s (mod n s)} k s=1 of Z with k<10 , actually our algorithm is valid for any positive integer k . As an application we provide a somewhat ge...In this paper we essentially determine all covers {a s (mod n s)} k s=1 of Z with k<10 , actually our algorithm is valid for any positive integer k . As an application we provide a somewhat general theorem on (infinite) arithmetic progressions (e.g. 1330319+346729110 Z) consisting of odd integers no term of which can be expressed as the sum of a power of two and an odd prime, on the other hand we obtain an interesting result on integers of the form 2 n+cp where c is a constant and p is a prime.展开更多
Let M2n be a cohomology CPn and p a prime. S et Dp(M2n)={d＞0|M2n admits a smooth Gp action such tha t the fixed point set of the action contains a codimension-2 submanifold of deg ree d}, DEp(M2n)={(d; m1, m2, …...Let M2n be a cohomology CPn and p a prime. S et Dp(M2n)={d＞0|M2n admits a smooth Gp action such tha t the fixed point set of the action contains a codimension-2 submanifold of deg ree d}, DEp(M2n)={(d; m1, m2, …, mμ)|M2n admits a GP action of Type Ⅱ0, having multiplicities m1, m2, …, mμ at the isolated fixed points, and m1+m2+…+mμ=n, d is the degree of the fixed codimension-2 submanifold}. In this paper, we prove that for n=5 or 7 , if D5(M2n)≠φ, then D5(M2n)={1}; if DE5(M2n )≠φ, then DE5(M2n)={(1; n, 0)}.展开更多
基金Supported by the NSF of Education Department of Henan Province(20021100002)Supported by the NSF of Education Department of Henan Province(200510475038)
文摘Let M be a concircularly fiat totally real minimal submanifold in CP4. The infimum Vm of the volume V （M） of M is obtained, also the necessary and sufficient conditions of ＂V（M）=Vm＂ is given.
文摘从根分布的角度,对齐性二维球面分类结果给出比Bando和Ohnita(J Math Soc Japan,1987,39:477)更加明显的刻画,求出决定齐性二维球面的SU(2)轨道的李群多项式表示的显式表达式,证明复射影空间中SU(2)轨道的维数取决于一个对应的扩大复平面系数上的一元n次方程的重根和负共轭倒数根对分布,把SU(2)轨道维数归结为黎曼球面上n个点是否重合或成为对径点的问题.也初步研究了SU(2)三维轨道性质与根分布的关系.
文摘In this paper we essentially determine all covers {a s (mod n s)} k s=1 of Z with k<10 , actually our algorithm is valid for any positive integer k . As an application we provide a somewhat general theorem on (infinite) arithmetic progressions (e.g. 1330319+346729110 Z) consisting of odd integers no term of which can be expressed as the sum of a power of two and an odd prime, on the other hand we obtain an interesting result on integers of the form 2 n+cp where c is a constant and p is a prime.
文摘Let M2n be a cohomology CPn and p a prime. S et Dp(M2n)={d＞0|M2n admits a smooth Gp action such tha t the fixed point set of the action contains a codimension-2 submanifold of deg ree d}, DEp(M2n)={(d; m1, m2, …, mμ)|M2n admits a GP action of Type Ⅱ0, having multiplicities m1, m2, …, mμ at the isolated fixed points, and m1+m2+…+mμ=n, d is the degree of the fixed codimension-2 submanifold}. In this paper, we prove that for n=5 or 7 , if D5(M2n)≠φ, then D5(M2n)={1}; if DE5(M2n )≠φ, then DE5(M2n)={(1; n, 0)}.
