The Classification of Diffeomorphism Classes of Real Bott Manifolds

Authors

  • Admi Nazra Andalas University

Keywords:

Real Bott manifolds, orbit space, diffeomor phismclasses, Seifert fiber space

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.

References

Y. Kamishima and M. Masuda, “Cohomological rigidity of real bott manifolds,” Algebraic & Geometric Topology, vol. 9, no. 4, pp. 2479–2502, 2009.

Y. Kamishima and A. Nazra, “Seifert fibred structure and rigidity on real bott towers,” Contemporary Mathematics, vol. 501, p. 103, 2009.

J. A. Wolf, Spaces of constant curvature. American Mathematical Soc., 1972, vol. 372.

A. Nazra, “Real bott tower,” Master’s thesis, Tokyo Metropolitan University, 2008.

A. Nazra, “Diffeomorphism type of real bott towers (geometry of transformation groups and related topics),” 2008.

A. Nazra, “Diffeomorphism classes of real bott manifolds,” Tokyo Journal of Mathematics, vol. 34, no. 1, pp. 229–260, 2011.

S. Choi, “Counting on real bott manifolds,” RIMS Kokyuroku, vol. 1670, pp. 69–71, 2009.

M. Masuda, “Classification of real bott manifolds,” arXiv preprint arXiv:0809.2178, 2008.

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Published

2021-02-15

How to Cite

Nazra, A. (2021). The Classification of Diffeomorphism Classes of Real Bott Manifolds. (IJCSAM) International Journal of Computing Science and Applied Mathematics, 7(1), 19–24. Retrieved from https://journal.its.ac.id/index.php/ijcsam/article/view/4598

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