The Classification of Diffeomorphism Classes of Real Bott Manifolds

Admi Nazra

Abstract


A real Bott manifold (RBM) is obtained as the orbit space of the n-torus T^n by a free action of an elementary abelian 2-group ZZ_2^n. This paper deals with the classification of some particular types of RBMs of dimension n, so that we know the number of diffeomorphism classes in such RBMs.

Keywords


Real Bott manifolds; orbit space; diffeomorphism classes; Seifert fiber space

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References


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DOI: http://dx.doi.org/10.12962/j24775401.v7i1.6943

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International Journal of Computing Science and Applied Mathematics by Pusat Publikasi Ilmiah LPPM, Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/ijcsam.