Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces.
Counterexample to boundary regularity of a strongly pseudoconvex CR submanifold: An addendum to the paper of Harvey-Lawson.
CR geometry and Cartan geometry.
CR mappings between real hypersurfaces in complex space
CR singular immersions of complex projective spaces.
CR structures and Fefferman's conformal structures.
CR structures with group action and extendability of CR function.
CR submanifolds of maximal CR dimension in complex manifolds
The aim of this paper is to investigate n-dimensional real submanifolds of complex manifolds in the case when the maximal holomorphic tangent space is (n-1)-dimensional. In particular, we give some examples and we consider the Levi form on these submanifolds, especially when the ambient space is a complex space form. Moreover, we show that on some remarkable class of real hypersurfaces of complex space forms, the Levi form cannot vanish identically.
CR submanifolds of maximal CR dimension in complex projective space and its holomorphic sectional curvature
CR-structure on Seifert manifolds.
CR-structures on a real Lie algebra
Given the notion of -structures without torsion on a real dimensional Lie algebra we study the problem of their classification when is a reductive algebra.
CR-structures on three dimensional circle bundles.
CR-submanifolds of a nearly trans-Sasakian manifold.
Cylindrical real hyper surfaces in
Si stabiliscono due condizioni sufficienti per un germe di ipersuperficie reale di classe in affinchè esistano coordinate olomorfe rispetto alle quali l'ipersuperficie risulti essere il luogo di zeri di una funzione di variabili e sia minimale rispetto a questa proprietà. In altre parole si vuole che l'ipersuperficie, a meno di una trasformazione bi-olomorfa, sia l’unione di sottovarietà lineari complesse, parallele di dimensione .
Decomposition of CR-manifolds and splitting of CR-maps
We show the uniqueness of local and global decompositions of abstract CR-manifolds into direct products of irreducible factors, and a splitting property for their CR-diffeomorphisms into direct products with respect to these decompositions. The assumptions on the manifolds are finite non-degeneracy and finite-type on a dense subset. In the real-analytic case, these are the standard assumptions that appear in many other questions. In the smooth case, the assumptions cannot be weakened by replacing...
Deformations of a complex mainfold near a strongly pseudo-convex real hypersurface and a realization of Kuranishi family of strongly pseudo-convex CR structures.
Deformations of CR-structures on a real Lie-algebra
Sia unalgebra di Lie e (p, J) una sua struttura di Cauchy-Riemann, vale a dire J è una struttura complessa integrabile del sottospazio vettoriale p. Come è stato fatto per il caso delle strutture complesse, cfr. [GT], introduciamo il concetto di deformazione di una struttura CR. Per mezzo dei gruppi di coomologia vengono provati risultati di rigidità. In particolare ogni struttura di Lie- CR che è semisemplice è rigida. Alcuni esempi chiariscono le soluzioni particolari esposte.
Deformations of Strictly Pseudoconvex Domains.
Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3
Differential equations on contact riemannian manifolds