On Complex Contact Similarity Manifolds
On Complex Contact Similarity Manifolds
We shall construct \emph{complex contact similarity manifolds}. Among them there exists a complex contact infranilmanifold $\cL/\Gamma$ which is a holomorphic torus fiber space over a quaternionic euclidean orbifold. Specifically taking a connected sum of $\cL/\Gamma$ with the complex projective space $\CC\PP^{2n+1}$, we prove that the connected sum admits a complex …