Geodesic and Exponential Maps on a Riemannian Manifold

Sarika M. Patil

doi:https://doi.org/10.14445/22315373/IJMTT-V10P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 10 | Number 1 | Year 2014 | Article Id. IJMTT-V10P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V10P507

Geodesic and Exponential Maps on a Riemannian Manifold

Sarika M. Patil

Abstract

Geodesic curve plays an important role in the development of Geometry. Our aim is to ensure local diffeomorphism on a Riemannian manifold which are obtained with the help of exponential mapping.

Keywords

Riemannian manifold , Geodesic Maps, Exponential Maps.

References

[1] DoCarmo M., Differential of curves and Surfaces, Englewood, cliffs, Prentice Hall.
[2] Flanders H., Differential forms with applications to Physical sciences, Academic N.Y, 1963.
[3] Kobayashi and Nomizu K, Foundation of Differential Geometry , Vol I and II, Inter Science (Wiley).
[4] DoCarmo M., Rimennian Geometry, Birkhauser Boston Basel Berlin -1992.
[5] Hu S.T., Differential Manifolds, Academic Press. 1962

Citation :

Sarika M. Patil, "Geodesic and Exponential Maps on a Riemannian Manifold," International Journal of Mathematics Trends and Technology (IJMTT), vol. 10, no. 1, pp. 38-42, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V10P507