Riemannian Geometry and Modern Developments

Authors

  • AKM Nazimuddin Department of Mathematical and Physical Sciences, East West University, Dhaka-1212
  • Md Showkat Ali Department of Applied Mathematics, University of Dhaka, Dhaka-1000

DOI:

https://doi.org/10.3329/ganit.v39i0.44159

Keywords:

Riemannian Geometry, Computational Method, Flat Deformation

Abstract

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 curvature

GANIT J. Bangladesh Math. Soc.Vol. 39 (2019) 71-85

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Published

2019-11-19

How to Cite

Nazimuddin, A., & Ali, M. S. (2019). Riemannian Geometry and Modern Developments. GANIT: Journal of Bangladesh Mathematical Society, 39, 71–85. https://doi.org/10.3329/ganit.v39i0.44159

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