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Twistor Operators in Symplectic Geometry
Advances in Applied Clifford Algebras ( IF 1.5 ) Pub Date : 2022-01-31 , DOI: 10.1007/s00006-022-01199-y Svatopluk Krýsl 1
中文翻译:
辛几何中的扭曲算子
更新日期:2022-01-31
Advances in Applied Clifford Algebras ( IF 1.5 ) Pub Date : 2022-01-31 , DOI: 10.1007/s00006-022-01199-y Svatopluk Krýsl 1
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On a symplectic manifold equipped with a symplectic connection and a metaplectic structure, we define two families of sequences of differential operators, called the symplectic twistor operators. We prove that if the connection is torsion-free and Weyl-flat, the sequences in these families form complexes.
中文翻译:
辛几何中的扭曲算子
在配备辛连接和元构造的辛流形上,我们定义了两个微分算子序列族,称为辛扭量算子。我们证明,如果连接是无扭转和外尔平面的,则这些族中的序列形成复合体。