设 M 是连通的、可定向的、完备的3维 C~∞黎曼流形,C:M→S^4(1)是从 M 列4维单位球面 S^4(1)中的等距浸入.主曲率 h_1,h_2,h_3满足 h_1=h_2=R(常数).本文证明了:浸入或者是全脐的,或者是无脐点的;若浸入是全脐的.或无脐点且 h_3为常数,...设 M 是连通的、可定向的、完备的3维 C~∞黎曼流形,C:M→S^4(1)是从 M 列4维单位球面 S^4(1)中的等距浸入.主曲率 h_1,h_2,h_3满足 h_1=h_2=R(常数).本文证明了:浸入或者是全脐的,或者是无脐点的;若浸入是全脐的.或无脐点且 h_3为常数,则 M 可完全确定:若 h_3不是常数,则 M 微分同胚于 E^4中环准超环面.展开更多
Wheat bread-making quality can be improved by use of high-molecular-weight glutenin subunits(HMW-GSs)from wild relatives.Aegilops longissima is a close relative of wheat that contains a number of HMW-GS-encoding genes...Wheat bread-making quality can be improved by use of high-molecular-weight glutenin subunits(HMW-GSs)from wild relatives.Aegilops longissima is a close relative of wheat that contains a number of HMW-GS-encoding genes including 1S^(l)x2.3^(*).In this study,transgenic wheat lines overexpressing 1S^(l)x2.3^(*)were obtained by Agrobacterium-mediated transformation and used to investigate the genetic contribution of 1S^(l)x2.3^(*)to wheat flour-processing quality.The 1S^(l)x2.3^(*)transgene was stably inherited and expressed over generations.Expression of 1S^(l)x2.3^(*)increased the relative expression of 1Dx2 and 1Dy12 and reduced that of 1By18 during grain development.In general,integration of 1S^(l)x2.3^(*)stimulated the accumulation of endogenous HMW-GSs and low-molecular-weight glutenin subunits in wheat kernels,greatly increasing the glutenin:gliadin ratio and resulting in faster formation of protein bodies in the endosperm during grain development.A wheat material with improved flour-making quality was developed in which 1S^(l)x2.3^(*)improved wheat bread-making quality.展开更多
In this article,we classify 1-connected 8-dimensional Poincarécomplexes,topological manifolds and smooth manifolds whose integral homology groups are isomorphic to those of S^(3)×S^(5).A topic related to a p...In this article,we classify 1-connected 8-dimensional Poincarécomplexes,topological manifolds and smooth manifolds whose integral homology groups are isomorphic to those of S^(3)×S^(5).A topic related to a paper of Escher and Ziller is also discussed.展开更多
This paper is devoted to studying the Marcinkiewicz integral operators associated to polynomial compound curves.Some new bounds for the above operators on the Lebesgue,Triebel-Lizorkin,and Besov spaces are established...This paper is devoted to studying the Marcinkiewicz integral operators associated to polynomial compound curves.Some new bounds for the above operators on the Lebesgue,Triebel-Lizorkin,and Besov spaces are established by assuming that their rough kernels are given byΩ∈H^(1)(s^(n-1))and h∈Δ_(γ)(R_(+))for someγ>1.It should be pointed out that the bounds are independent of h,Ω,γ,and the coefficients of the polynomials in the definition of the operators.展开更多
文摘设 M 是连通的、可定向的、完备的3维 C~∞黎曼流形,C:M→S^4(1)是从 M 列4维单位球面 S^4(1)中的等距浸入.主曲率 h_1,h_2,h_3满足 h_1=h_2=R(常数).本文证明了:浸入或者是全脐的,或者是无脐点的;若浸入是全脐的.或无脐点且 h_3为常数,则 M 可完全确定:若 h_3不是常数,则 M 微分同胚于 E^4中环准超环面.
基金supported by the National Natural Science Foundation of China(31971945)the Department of Science and Technology of Ningxia in China(2019BBF02020)。
文摘Wheat bread-making quality can be improved by use of high-molecular-weight glutenin subunits(HMW-GSs)from wild relatives.Aegilops longissima is a close relative of wheat that contains a number of HMW-GS-encoding genes including 1S^(l)x2.3^(*).In this study,transgenic wheat lines overexpressing 1S^(l)x2.3^(*)were obtained by Agrobacterium-mediated transformation and used to investigate the genetic contribution of 1S^(l)x2.3^(*)to wheat flour-processing quality.The 1S^(l)x2.3^(*)transgene was stably inherited and expressed over generations.Expression of 1S^(l)x2.3^(*)increased the relative expression of 1Dx2 and 1Dy12 and reduced that of 1By18 during grain development.In general,integration of 1S^(l)x2.3^(*)stimulated the accumulation of endogenous HMW-GSs and low-molecular-weight glutenin subunits in wheat kernels,greatly increasing the glutenin:gliadin ratio and resulting in faster formation of protein bodies in the endosperm during grain development.A wheat material with improved flour-making quality was developed in which 1S^(l)x2.3^(*)improved wheat bread-making quality.
基金The National Natural Science Foundation of China(1097118510971186+2 种基金61379021)Fujian Province Support College Research Plan Project(JK2011031)The Natural Science Foundation of Fujian Province(2013J01029)
文摘In this article,we classify 1-connected 8-dimensional Poincarécomplexes,topological manifolds and smooth manifolds whose integral homology groups are isomorphic to those of S^(3)×S^(5).A topic related to a paper of Escher and Ziller is also discussed.
基金the National Natural Science Foundation of China(Grant No.11701333)the Natural Science Foundation of University Union of Science and Technology Department of Fujian Province(Grant No.2019J01784).
文摘This paper is devoted to studying the Marcinkiewicz integral operators associated to polynomial compound curves.Some new bounds for the above operators on the Lebesgue,Triebel-Lizorkin,and Besov spaces are established by assuming that their rough kernels are given byΩ∈H^(1)(s^(n-1))and h∈Δ_(γ)(R_(+))for someγ>1.It should be pointed out that the bounds are independent of h,Ω,γ,and the coefficients of the polynomials in the definition of the operators.
