Published by Canadian Center of Science and Education On Complex Contact Similarity Manifolds

We shall construct complex contact similarity manifolds. Among them there exists a complex contact infranil-manifold L/Γ which is a holomorphic torus fiber space over a quaternionic euclidean orbifold. Specifically taking a connected sum of L/Γ with the complex projective space CP2n+1, we prove that the connected sum admits a complex contact structure. Our examples of complex contact manifolds are different from those known previousl