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Description
  • BGG-sequences offer a uniform construction for invariant differential operators for a large class of geometric structures called parabolic geometries. For locally flat geometries, the resulting sequences are complexes, but in general the compositions of the operators in such a sequence are nonzero. In this paper, we show that under appropriate torsion freeness and/or semi-flatness assumptions certain parts of all BGG sequences are complexes. Several examples of structures, including quaternionic structures, hypersurface type CR structures and quaternionic contact structures are discussed in detail. In the case of quaternionic structures we show that several families of complexes obtained in this way are elliptic.
  • BGG-sequences offer a uniform construction for invariant differential operators for a large class of geometric structures called parabolic geometries. For locally flat geometries, the resulting sequences are complexes, but in general the compositions of the operators in such a sequence are nonzero. In this paper, we show that under appropriate torsion freeness and/or semi-flatness assumptions certain parts of all BGG sequences are complexes. Several examples of structures, including quaternionic structures, hypersurface type CR structures and quaternionic contact structures are discussed in detail. In the case of quaternionic structures we show that several families of complexes obtained in this way are elliptic. (en)
Title
  • Subcomplexes in curved BGG-sequences
  • Subcomplexes in curved BGG-sequences (en)
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  • Subcomplexes in curved BGG-sequences
  • Subcomplexes in curved BGG-sequences (en)
skos:notation
  • RIV/00216208:11320/12:10129248!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
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  • P(GA201/08/0397)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
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  • 172288
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  • RIV/00216208:11320/12:10129248
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  • manifolds; differential geometry; parabolic geometries (en)
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [FEF90C94F42D]
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  • Mathematische Annalen
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  • 354
http://linked.open...iv/tvurceVysledku
  • Souček, Vladimír
  • Cap, Andreas
http://linked.open...ain/vavai/riv/wos
  • 000307442300004
issn
  • 0025-5831
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00208-011-0726-4
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  • 11320
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