利用柯西黎曼条件和偏微分方程理论,得到了一类非线性RH问题的求解方法,并通过实例表明该方法是可行的。
In this paper, we get a method to solve a non-linear RH problem by the Cauchy-Riemann conditions and the theories of partial differential equation.
文章利用达布和理论,讨论了黎曼积分的可积性问题,给出了一个可积的充分必要条件。
Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.
分析了诸多积分概念的共性,抽象出黎曼积分的定义,给出了黎曼可积的条件。
This paper sums up the common character of the concept of many integrals, abstracts the concept of Riemann integral and gives the integral conditions of the Riemann integral.
本文讨论黎曼流形里一般余维的常数平均曲率的子流形为全脐子流形的充要条件。
In this paper, we get a necessary and sufficient condition for a generalcodimensional submanifold with constant mean curvature in a Riemannian mani-fold to be a totally umbilical submanifold.
对局部对称共形平坦黎曼流形中具有平坦法丛的极小子流形作了一些讨论,得到了极小子流形是全测地的两个充分条件。
This paper studies the Schouten tensor on the locally conformally flat manifold, and gets some sufficient conditions for m to be the space of constant curvature, which improves the known results.
对局部对称共形平坦黎曼流形中具有平坦法丛的极小子流形作了一些讨论,得到了极小子流形是全测地的两个充分条件。
This paper studies the Schouten tensor on the locally conformally flat manifold, and gets some sufficient conditions for m to be the space of constant curvature, which improves the known results.
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