Moduli spaces of polynomial minimal immersions between 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 کاملModuli for Spherical Maps and Minimal Immersions of Homogeneous Spaces
The DoCarmo-Wallach theory studies isometric minimal immersions f : G/K → S of a compact Riemannian homogeneous space G/K into Euclidean n -spheres for various n . For a given domain G/K , the moduli space of such immersions is a compact convex body in a representation space for the Lie group G . In 1971 DoCarmo and Wallach gave a lower bound for the (dimension of the) moduli for G/K = S , and ...
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...
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.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1990
ISSN: 0026-2285
DOI: 10.1307/mmj/1029004197