%0 Journal Article
%T Riemannian Geometry and Modern Developments
%A AKM Nazimuddin
%A Md Showkat Ali
%J GANIT: Journal of Bangladesh Mathematical Society
%D 2019
%R https://doi.org/10.3329/ganit.v39i0.44159
%X In this paper, we compute the Christoffel Symbols of the first kind, Christoffel Symbols of the second kind, Geodesics, Riemann Christoffel tensor, Ricci tensor and Scalar curvature from a metric which plays a fundamental role in the Riemannian geometry and modern differential geometry, where we consider MATLAB as a software tool for this implementation method. Also we have shown that, locally, any Riemannian 3-dimensional metric can be deformed along a directioninto another metricthat is conformal to a metric of constant curvatur
%U https://www.banglajol.info/index.php/GANIT/article/view/44159