Immersions of real projective spaces into complex projective spaces
نویسندگان
چکیده
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 کاملOn Local Isometric Immersions into Complex and Quaternionic Projective Spaces
We will prove that if an open subset of CPn is isometrically immersed into CPm, withm < (4/3)n−2/3, then the image is totally geodesic. We will also prove that if an open subset of HPn isometrically immersed into HPm, with m < (4/3)n− 5/6, then the image is totally geodesic.
متن کاملSpaces of algebraic maps from real projective spaces into complex projective spaces
We study the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. It was already shown in [1] that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural ‘degree’ filtration approximate closer and closer the homotopy type of the space o...
متن کاملAddendum To: Cr Singular Immersions of Complex Projective Spaces
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 pape...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1987
ISSN: 0018-2079
DOI: 10.32917/hmj/1206129968