1
Associate Professor, Department of Mathematics, Faculty of Sciences, Arak University
2
PhD Candidate, Department of Mathematics, Faculty of Sciences, Arak University
Abstract
n this paper, we are going to derive some necessary and efficient conditions for a 2-dimensional Riemannian curve to be locally symmetric. These conditions are free of Lie group discussions and thus could be apply for 2-dimensional computations on surfaces without dealing with Lie groups concepts and improve intuitive observations. Also, we deal with equivalent conditions under which a 2-dimensional Riemannian curve with two conformal Riemannian metrics is locally symmetric.
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