Symplectic homogeneous spaces
Symplectic homogeneous spaces
It is proved in this paper that for a given simply connected Lie group <italic>G</italic> with Lie algebra <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="German g"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="fraktur">g</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathfrak {g}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, every left-invariant closed 2-form induces a symplectic homogeneous space. This fact generalizes the results …