Diffeomorphism Classification of Smooth Structures and Tangential Homotopy Types of $\mathbb{C}{P}^m$ for $5\le m\le 8$

Ramesh Kasilingam

This paper provides a diffeomorphism classification of smooth manifolds homeomorphic to the complex projective space $\mathbb{C}{P}^m$ for $m\in \{5,6,7,8\}$. The classification…