Study on De Rham Cohomology Algebra of Manifolds

Authors

  • Saraban Tahora 1Department of Civil Engineering, University of Information Technology and Sciences (UITS), Dhaka-1212, Bangladesh
  • Khondokar M Ahmed Department of Mathematics, Dhaka University, Dhaka-1000, Bangladesh

DOI:

https://doi.org/10.3329/dujs.v64i2.54484

Keywords:

De Rham cohomology, cohomology algebra,, pth de Rham cohomology space, graded algebras, homology class and orientation class.

Abstract

In the present paper some aspects of exterior derivative, graded algebra, cohomology algebra, de Rham cohomology algebra, singular homology, cohomology class are studied. Graded subspace, smooth map, a singular P- - simplex in a manifold M, oriented n- manifold M, the space of P- cycles and P- boundaries, Pth singular homology and homology class are treated in our paper. A theorem 3.03 is established which is related to orientable manifold.

Dhaka Univ. J. Sci. 64(2): 109-113, 2016 (July)

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Published

2016-07-31

How to Cite

Tahora, S., & Ahmed, K. M. (2016). Study on De Rham Cohomology Algebra of Manifolds. Dhaka University Journal of Science, 64(2), 109–113. https://doi.org/10.3329/dujs.v64i2.54484

Issue

Vol. 64 No. 2 (2016)

Section

Articles