Principal bundles on affine space and bundles on the projective line.
M.S. Raghunathan (1989)
Mathematische Annalen
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M.S. Raghunathan (1989)
Mathematische Annalen
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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...
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.
Atsuhsi Moriwaki (1992)
Manuscripta mathematica
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Thomas Peternell, Frédéric Capana (1993)
Manuscripta mathematica
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Efstathios Vassiliou (1981)
Colloquium Mathematicae
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Efstathios Vassiliou (1990)
Colloquium Mathematicae
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Richard G. Swan, Pavaman Murthy (1976)
Inventiones mathematicae
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Július Korbas (1994)
Manuscripta mathematica
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Wilhelm Kaup (1995)
Manuscripta mathematica
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Jeroen G. Spandaw (1996)
Manuscripta mathematica
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Joachim Schmid (1995)
Manuscripta mathematica
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Larry Smith (1978)
Manuscripta mathematica
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Oliver, Bob (1998)
Documenta Mathematica
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Qi Zhang (1991)
Manuscripta mathematica
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Maria H. Paula Leite Mello (1986/87)
Manuscripta mathematica
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Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.