arXiv subjects
Publications and source records attributed to A. Lotta.
We present a non existence result of complete, Einstein hypersurfaces tangent to the Reeb vector field of a regular Sasakian manifold which fibers onto a complex Stein manifold.
We show that every five-dimensional Sasakian Lie algebra with trivial center is $φ$-symmetric. Moreover starting from a particular Sasakian structure on the Lie group $SL(2,\mathbb{R})\times\text{Aff}(\mathbb{R})$ we obtain a family of contact metric $(k,μ)$ structures whose Boeckx invariants assume all values less than $-1$.
We classify locally the contact metric (k,mu)-spaces whose Boeckx invariant is $\le -1$ as tangent hyperquadric bundles of Lorentzian space forms.
In this paper we classify the simply connected, spherical pseudohermitian manifolds whose Webster metric is CR-symmetric.