2 problems

A compact complex manifold $X$ is called a similarity Hopf manifold if and only if it is a finite cover of a Hopf manifold … where $\phi(z)=azA$, $A\in U(n)$, $z=(z_1,\dots,z_n)$,…

Let $alpha=(\alpha_1,\ldots,\alpha_n)\in\mathbb{C}^n\setminus\{0\}$ satisfy $|\alpha_1|=\cdots=|\alpha_n|\ne1$, and let $M_\alpha=(\mathbb{C}^n\setminus\{0\})/\sim$ be the Hopf man…