Addendum To: Cr Singular Immersions of Complex Projective Spaces
نویسندگان
چکیده
The Zentralblatt Math number for reference [18] should be Zbl 0373.50005. Reference [6] will not appear under that title. The relevant material (cited on p. 468, [C 1 ]) can be found in Reference [4], or in [C 2 ] instead. The following Sections of this addendum are a continuation of the consideration of real manifolds immersed in C n. They include some of the calculations omitted from the paper [C 1 ].
منابع مشابه
CR Singular Immersions of Complex Projective Spaces
Quadratically parametrized smooth maps from one complex projective space to another are constructed as projections of the Segre map of the complexification. A classification theorem relates equivalence classes of projections to congruence classes of matrix pencils. Maps from the 2-sphere to the complex projective plane, which generalize stereographic projection, and immersions of the complex pr...
متن کاملHamiltonian-minimal Lagrangian submanifolds in complex space forms
Using Legendrian immersions and, in particular, Legendre curves in odd dimensional spheres and anti De Sitter spaces, we provide a method of construction of new examples of Hamiltonian-minimal Lagrangian submanifolds in complex projective and hyperbolic spaces, including explicit one parameter families of embeddings of quotients of certain product manifolds. In addition, new examples of minimal...
متن کاملOn Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces
We show how to find a complete set of necessary and sufficient conditions that solve the fixed-parameter local congruence problem of immersions in G-spaces, whether homogeneous or not, provided that a certain k order jet bundle over the G-space admits a G-invariant local coframe field of constant structure. As a corollary, we note that the differential order of a minimal complete set of congrue...
متن کاملNonsingular Bilinear Maps, Spaces of Matrices, Immersions and Embeddings
In every differential topology textbook one finds Whitney’s immersion and embedding theorems. But, the real story of immersions started with the results of Hirsch ([15]) and Smale ([30]). We do not intend to follow closely all these developments. Rather, we restrict ourselves mainly to the problem of the existence of immersions of real projective spaces into Euclidean spaces and the problems re...
متن کامل