The Penrose transform for complex projective space
نویسندگان
چکیده
منابع مشابه
The Penrose Transform for Complex Projective Space
Various complexes of differential operators are constructed on complex projective space via the Penrose transform, which also computes their cohomology.
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Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
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Let the manifold X parametrise a family of compact complex submanifolds of the complex (or CR) manifold Z. Under mild conditions the Penrose transform typically provides isomorphisms between a cohomology group of a holomorphic vector bundle V → Z and the kernel of a differential operator between sections of vector bundles over X. When the spaces in question are homogeneous for a group G the Pen...
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pseudo ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo ricci symmetric real hypersurfaces of the complex projective space cpn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2009
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476930902760435