2012•Dhaka University Journal of ScienceOpen access

Exterior Algebra with Differential Forms on Manifolds

Md. Showkat Ali, Kazi Matin Ahmed, M.R. Khan, Mirazul Islam

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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Key concepts: Differential form, Differential (mechanical device), Mathematics, Differential algebra, Differential geometry, Algebra over a field, Exterior algebra, Differential graded algebra