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RIGIDITY OF FLAG SUPERMANIFOLDS

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Abstract

We prove that under certain assumptions a supermanifold of flags is rigid, that is, its complex structure does not admit any non-trivial small deformation. Moreover under the same assumptions we show that a supermanifold of flags is a unique non-split supermanifold with given retract.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de Minas, Gerais, Av. Antônio Carlos, 6627, Belo Horizonte, Minas Gerais, CEP: 31270-901, Brazil

    E. G. VISHNYAKOVA

  2. Laboratory of Theoretical and Mathematical Physics, Tomsk State University, Tomsk, 634050, Russia

    E. G. VISHNYAKOVA

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  1. E. G. VISHNYAKOVA
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Supported by FAPEMIG, grant APQ-01999-18, by Tomsk State University, Competitiveness Improvement Program and by CAPES/HUMBOLDT Foundation, Research Fellowship.

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VISHNYAKOVA, E.G. RIGIDITY OF FLAG SUPERMANIFOLDS. Transformation Groups 27, 1149–1187 (2022). https://doi.org/10.1007/s00031-020-09629-6

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