Extension phenomena for holomorphic geometric structures.
Mckay, Benjamin (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Mckay, Benjamin (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Wlodzimierz M. Mikulski (2006)
Extracta Mathematicae
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Let A be a Weil algebra and V be an A-module with dim V < ∞. Let E → M be a vector bundle and let TE → TM be the vector bundle corresponding to (A,V). We construct canonically a linear semibasic tangent valued p-form Tφ : T E → ΛT*TM ⊗ TTE on TE → TM from a linear semibasic tangent valued p-form φ : E → ΛT*M ⊗ TE on E → M. For the Frolicher-Nijenhuis bracket we prove that [[Tφ, Tψ]] = T ([[φ,ψ]]) for any linear semibasic tangent valued p- and q-forms φ and ψ on E → M. We apply...
Do Duc Thai, Nguyen Le Huong (1993)
Annales Polonici Mathematici
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We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.
Bhand, Ajit (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Iliev, Bozhidar Z. (2006)
International Journal of Mathematics and Mathematical Sciences
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A. Van de Ven (1964)
Annales de l'institut Fourier
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Levin, Andrey M., Olshanetsky, Mikhail A., Zotov, Andrei V. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Jan Vondra (2014)
Archivum Mathematicum
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We consider a vector bundle and the principal bundle of frames of . We determine all natural transformations of the connection bundle of the first order principal prolongation of principal bundle into itself.
François Berteloot, Christophe Dupont, Laura Molino (2008)
Annales de l’institut Fourier
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We establish a Poincaré-Dulac theorem for sequences of holomorphic contractions whose differentials split regularly. The resonant relations determining the normal forms hold on the moduli of the exponential rates of contraction. Our results are actually stated in the framework of bundle maps. Such sequences of holomorphic contractions appear naturally as iterated inverse branches of endomorphisms of . In this context, our normalization result allows to estimate precisely...