1-Parameter Group Structure of Integral Curves


Authors : Praveen Sharma

Volume/Issue : Volume 5 - 2020, Issue 6 - June

Google Scholar : http://bitly.ws/9nMw

Scribd : https://bit.ly/2YJJsAI

Abstract : In this paper we have studied the integral curves of the field of vectors on the subsets of Rn+1 and identify the 1-parameter transformation group structure associated to a particular case of a vector field with infinitely times differentiable component function and then generalizes it to any arbitrary field of vectors with infinitely times differentiable component function.

In this paper we have studied the integral curves of the field of vectors on the subsets of Rn+1 and identify the 1-parameter transformation group structure associated to a particular case of a vector field with infinitely times differentiable component function and then generalizes it to any arbitrary field of vectors with infinitely times differentiable component function.

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