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On curvature constructions of symplectic forms

Tom 93 / 2011

Anna Szczepkowska, Aleksy Tralle, Artur Woike Banach Center Publications 93 (2011), 261-269 MSC: Primary 53D05; Secondary 57R17. DOI: 10.4064/bc93-0-21

Streszczenie

We generalize the result of Lerman [Letters Math. Phys. 15 (1988)] concerning the condition of fatness of the canonical connection in a certain principal fibre bundle. We also describe new classes of symplectically fat bundles: twistor budles over spheres, bundles over quaternionic Kähler homogeneous spaces and locally homogeneous complex manifolds.

Autorzy

  • Anna SzczepkowskaDepartment of Mathematics and Computer Science
    University of Warmia and Mazury
    Słoneczna 54
    10-710 Olsztyn, Poland
    e-mail
  • Aleksy TralleDepartment of Mathematics and Computer Science
    University of Warmia and Mazury
    Słoneczna 54
    10-710 Olsztyn, Poland
    e-mail
  • Artur WoikeDepartment of Mathematics and Computer Science
    University of Warmia and Mazury
    Słoneczna 54
    10-710 Olsztyn, Poland
    e-mail

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