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诱导张量
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  inducing tensor
     In this paper, the author gives two types of definitions for the induced connection on the submanifold in a Finsler space by the concept of fiber bundle,the definitions need not depend on the metric tensor and merely uses a general“inducing tensor”,and do not involve the complex induced relations between the Finsler function on the Finsler space and it’s submanifold . The expression of these induced connections are particular , simple and wise.
     本文用纤维丛理论给出了Finsler空间子流形上的两种诱导联络的定义,这两种定义不必依赖于度量张量,不涉及Finsler空间与其子流形上Finsler函数之间复杂的诱导关系,仅使用一般的“诱导张量”,这两种诱导联络形式具体、简明。
短句来源
     In this paper, the author gives a definition for the induced connection onthe submanifold in a Finsler space by the concept of fiber bundle. This definition neednot depend on the metric tensor and merely uses a general "inducing tensor". If the metric tensor is taken as inducing tensor, the induced connection obtained from Cartan connection will coincide with Rund's classical definition.
     用纤维丛概念给出Finsler空间子流形上诱导联络的定义.此定义不必依赖于度量张量,仅使用一般的“诱导张量”.若取度量张量作为诱导张量,则由Cartan联络得出的诱导联络合于Rund的古典定义.
短句来源
  “诱导张量”译为未确定词的双语例句
     In the second section, begin with this kind of form of Finsler connection, we take the projection of Finsler tensor field as induced tensor, make the index of covariant component of coefficient of connection inω_b~a and (θ~v)~a be fallen , then ,we gain to new covariant component of coefficient of connection, so we induced the Finsler connection on Finsler submanifold in Finsler space.
     第二部分从这种形式的联络入手,以Finsler张量场的投影为诱导张量对ωba和(θv)a中的联络系数协变分量下降指标,得出新的联络系数协变分量,从而诱导出Finsler空间子流形上的Finsler联络。
短句来源
     first of all, the expression for torsion free connection on Finsler submanifold in Finsler space is given under induced coordinate system, second ,it is pointed out that a modular homorphism can be established between (r,s) Chern-Finsler tensor field on P~*TM and P~*TM_1, it is called projection ,at last ,the projection of Chern-Finsler
     这部分首先给出了导出坐标系下Finsler空间无挠联络的表达式,然后指出P*T M上(r,s)型Chern-Finsler张量场集合与P *TM1上同型张量场集合之间可建立一个模同态,称为投影,最后,以Chern-Finsler张量场的投影为诱导张量,给出了Finsler空间子流形的诱导无挠联络。
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  相似匹配句对
     Symmetry Classes of Tensors and Induced Modules
     张量对称类与诱导
短句来源
     THE RELATIVE CURVATURE TENSOR OF TWO DEGREE OF-FREEDOM CONJUGATE SURFACES
     双自由度共轭曲面的诱导曲率张量
短句来源
     in troducing stimulus;
     诱导刺激;
短句来源
     Experimental Induction of Heterotopic Ossification
     实验诱导异位骨化
短句来源
     Tensor Products of Rings
     环的张量
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In this paper, the author gives a definition for the induced connection onthe submanifold in a Finsler space by the concept of fiber bundle. This definition neednot depend on the metric tensor and merely uses a general "inducing tensor". If the metric tensor is taken as inducing tensor, the induced connection obtained from Cartan connection will coincide with Rund's classical definition.

用纤维丛概念给出Finsler空间子流形上诱导联络的定义.此定义不必依赖于度量张量,仅使用一般的“诱导张量”.若取度量张量作为诱导张量,则由Cartan联络得出的诱导联络合于Rund的古典定义.

 
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