More morphisms between bundle gerbes.
Waldorf, Konrad (2007)
Theory and Applications of Categories [electronic only]
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Waldorf, Konrad (2007)
Theory and Applications of Categories [electronic only]
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Martin Čadek, Jiří Vanžura (1998)
Banach Center Publications
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The paper is an overview of our results concerning the existence of various structures, especially complex and quaternionic, in 8-dimensional vector bundles over closed connected smooth 8-manifolds.
Levin, Andrey M., Olshanetsky, Mikhail A., Zotov, Andrei V. (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...
Michel Brion (1996)
Banach Center Publications
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Martin Čadek, Jiří Vanžura (1996)
Colloquium Mathematicae
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It is shown that the -index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.
Kaliszewski, S., Muhly, Paul S., Quigg, John, Williams, Dana P. (2010)
The New York Journal of Mathematics [electronic only]
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A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol (2014)
Archivum Mathematicum
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For a product preserving gauge bundle functor on vector bundles, we present some lifts of smooth functions that are constant or linear on fibers, and some lifts of projectable vector fields that are vector bundle morphisms.
Schäfer, Lars (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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