On The Applications of Stiefel-Whitney Classes of Real Bott Manifolds

Daniel Danladi¹ , Domven Lohcwat² , Isah Abdullahi³

1. Dept. of Mathematics, Karl Kumm University, Vom Plateau State.
2. Dept. of Mathematical Sciences, Abubakar Tafawa Balewa University, Bauchi, Nigeria.
3. Dept. of Mathematical Sciences, Abubakar Tafawa Balewa University, Bauchi, Nigeria.

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.4 , pp.34-37, Aug-2024

Online published on Aug 31, 2024

Copyright © Daniel Danladi, Domven Lohcwat, Isah Abdullahi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
Real Bott manifolds are a type of compact, connected Riemannian manifolds without boundaries, notable as a unique and intriguing category of real toric varieties. This study focuses on identifying a set of topological invariants known as Stiefel-Whitney classes, which are crucial characteristic classes in the context of the set of integers modulo two. We computed the Stiefel-Whitney classes of real Bott manifolds. We applied the method to calculate the Stiefel-Whitney classes of the manifolds. The formula for determining the number of terms in each class was also given.

Key-Words / Index Term :
Manifolds, Real Bott manifolds, Stiffel-Whiteney Class

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