On Tian-Todorov lemma and its applications to deformation of CR-structures

Abstract

We give a new Tian-Todorov lemma on deformations of CR-structures and use it to reprove the deformation unobstructedness of normal compact strongly pseudoconvex CRmanifold under the assumption of d ′ d ′′ -lemma, more faithfully following Tian-Todorov's approach.