Diffeomorphism Classes of Real Bott Manifolds

TL;DR

This paper classifies 5-dimensional real Bott towers and explores properties of higher-dimensional cases, contributing to the understanding of their topological and geometric structures.

Contribution

It provides a classification of 5-dimensional real Bott towers and investigates specific features of higher-dimensional towers ($n geq 6$).

Findings

Complete classification of 5-dimensional real Bott towers.

Insights into the structure of $n$-dimensional real Bott towers for $n geq 6$.

Advances understanding of their topological properties.

Abstract

A real Bott tower is obtained as the orbit space of the $n$-torus $T^n$ by the free action of an elementary abelian 2-group $(\mathbb{Z}_2)^n$. This paper deals with the classification of 5-dimensional real Bott towers and study certain type of $n$-dimensional real Bott towers ($n\geq 6$).