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Extension of covariant derivative(Ⅲ): From classical gradient to shape gradient 被引量:4
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作者 Ya-Jun Yin 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2015年第1期96-103,共8页
This paper further extends the generalized covari ant derivative from the first covariant derivative to the sec ond one on curved surfaces. Through the linear transforma tion between the first generalized covariant de... This paper further extends the generalized covari ant derivative from the first covariant derivative to the sec ond one on curved surfaces. Through the linear transforma tion between the first generalized covariant derivative and the second one, the second covariant differential transformation group is set up. Under this transformation group, the sec ond class of differential invariants and integral invariants on curved surfaces is made clear. Besides, the symmetric struc ture of the tensor analysis on curved surfaces are revealed. 展开更多
关键词 Tensor analysis on curved surfaces the sec-ond generalized covariant derivative the second covariantdifferential transformation group the second class of dif-ferential and integral invariants
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