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黎曼流形上微分形式的WT类
引用本文:商秀印,顾志华.黎曼流形上微分形式的WT类[J].河北大学学报(自然科学版),2010,30(3).
作者姓名:商秀印  顾志华
作者单位:1. 河北大学,数学与计算机学院,河北,保定,071002;河北农业大学,理学院,河北,保定,071001
2. 河北农业大学,理学院,河北,保定,071001
摘    要:研究拟线性椭圆微分方程与黎曼流形上加权微分形式,定义了2类微分形式,并得到了拟线性椭圆微分方程与黎曼流形上加权微分形式之间的关系.

关 键 词:微分形式  黎曼流形  A-调和方程

Weighted WT-classes of Differential Forms on Riemannian Manifolds
SHANG Xiu-yin,GU Zhi-hua.Weighted WT-classes of Differential Forms on Riemannian Manifolds[J].Journal of Hebei University (Natural Science Edition),2010,30(3).
Authors:SHANG Xiu-yin  GU Zhi-hua
Abstract:The relations between quasilinear elliptic equations and weighted differential forms on Riemannian manifolds are studied.Two new classes of differential forms are introduced and it is shown that these differential expressions are connected in a natural way to quasilinearelliptic equations.
Keywords:differential forms  Riemannian manifold  A-harmonic equation
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