Exterior Algebra with Differential Forms on Manifolds

Authors

  • Md. Showkat Ali Department of Mathematics, University of Dhaka, Dhaka 1000
  • K.M. Ahmed Department of Mathematics, University of Dhaka, Dhaka 1000
  • M.R. Khan Department of Mathematics, University of Dhaka, Dhaka 1000
  • Md. Mirazul Islam Department of Mathematics, University of Dhaka, Dhaka 1000

DOI:

https://doi.org/10.3329/dujs.v60i2.11528

Keywords:

Exterior Algebra

Abstract

The concept of an exterior algebra was originally introduced by H. Grassman for the purpose of studying linear spaces. Subsequently Elie Cartan developed the theory of exterior differentiation and successfully applied it to the study of differential geometry [8], [9] or differential equations. More recently, exterior algebra has become powerful and irreplaceable tools in the study of differential manifolds with differential forms and we develop theorems on exterior algebra with examples.

DOI: http://dx.doi.org/10.3329/dujs.v60i2.11528

Dhaka Univ. J. Sci. 60(2): 247-252, 2012 (July)

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Published

2012-08-03

How to Cite

Ali, M. S., Ahmed, K., Khan, M., & Islam, M. M. (2012). Exterior Algebra with Differential Forms on Manifolds. Dhaka University Journal of Science, 60(2), 247–252. https://doi.org/10.3329/dujs.v60i2.11528

Issue

Vol. 60 No. 2 (2012)

Section

Articles