Discrete structures on manifolds
Abstract
In this exposition, we consider group theoretic arguments in order to obtain discrete structures on certain smooth manifolds. This review work essentially looks at group actions on homogeneous spaces which ultimately lead to tessellations on smooth manifolds. Apart from applications of such discretization’s, we also mention the pedagogical advantages while explaining Non-Euclidean geometry.
Copyright © 2014 T. Venkatesh, Sarika M. Patil, J.V. Ramanaraju. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
T. Venkatesh, S. M. Patil, J. V. Ramanaraju, Discrete structures on manifolds, J. Math. Comput. Sci. 4 (2014), 797–803.
BibTeX
@article{Venkatesh2014,
author = {Venkatesh, T. and Patil, Sarika M. and Ramanaraju, J.V.},
title = {Discrete structures on manifolds},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {797--803},
doi = {}
}