Holomorphic Lagrangian bundles over flag manifolds.
Wojciech Bisiecki (1985)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “Affine Gelfand-Dickey Brackets and Holomorphic Vector Bundles.”
Holomorphic Lagrangian bundles over flag manifolds.
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Yukatika Abe (1988)
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Michael Schneider (1984)
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The Chern numbers of holomorphic vector bundles and formally holomorphic connections of complex vector bundles over almost complex manifolds.
L. Vanhecke, A. Gray, M. Barros, A.M. Naveira (1980)
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Journal für die reine und angewandte Mathematik
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Affine structures on jet and Weil bundles
David Blázquez-Sanz (2009)
Colloquium Mathematicae
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Weil algebra morphisms induce natural transformations between Weil bundles. In some well known cases, a natural transformation is endowed with a canonical structure of affine bundle. We show that this structure arises only when the Weil algebra morphism is surjective and its kernel has null square. Moreover, in some cases, this structure of affine bundle passes to jet spaces. We give a characterization of this fact in algebraic terms. This algebraic condition also determines an affine...
...-degenerate singular integral equations and holomorphic affine bundles over compact RIEMANN surfaces. I.
Helmut Röhrl (1963/64)
Commentarii mathematici Helvetici
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Foliate Partial Holomorphic Structures on Principal Bundles.
Izu Vaisman (1991)
Monatshefte für Mathematik
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Izu Vaisman (1988)
Manuscripta mathematica
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Tangent bundles of quasi-constant holomorphic sectional curvatures.
Bejan, C.L., Oproiu, V. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Principal bundles on affine space and bundles on the projective line.
M.S. Raghunathan (1989)
Mathematische Annalen
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Extension of line bundles and holomorphic maps
S. M. Ivashkovich (1988)
Matematički Vesnik
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Lagrangians and hamiltonians on affine bundles and higher order geometry
Paul Popescu, Marcela Popescu (2007)
Banach Center Publications
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The higher order bundles defined by an anchored bundle are constructed as a natural extension of the higher tangent spaces of a manifold. We prove that a hyperregular lagrangian (hyperregular affine hamiltonian) is a linearizable sub-lagrangian (affine sub-hamiltonian) on a suitable Legendre triple.
Algebraic cycles and vector bundles on real affine threefolds.
Wojciech Kucharz (1988)
Manuscripta mathematica
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Natural operations on holomorphic forms
A. Navarro, J. Navarro, C. Tejero Prieto (2018)
Archivum Mathematicum
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We prove that the only natural differential operations between holomorphic forms on a complex manifold are those obtained using linear combinations, the exterior product and the exterior differential. In order to accomplish this task we first develop the basics of the theory of natural holomorphic bundles over a fixed manifold, making explicit its Galoisian structure by proving a categorical equivalence à la Galois.