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引用次数: 0

摘要

本文讨论了一类-余辛流形的一些几何性质。首先,我们给出了具有射影、共圆和扭转等特殊向量域的-余辛流形的一些分类。然后,我们研究了具有射影的- ricci孤子的-余辛流形,这是一个新的共形向量域。最后,我们得到了这种流形为爱因斯坦、-爱因斯坦、协辛的一些特征。
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Some results on a-cosympletic manifolds
In this paper, we deal with some geometric properties of an -cosymplectic manifold. First, we give some classi cations for an alpha-cosymplectic manifold endowed with some special vector elds such as projective, concircular and torse-forming. Then, we study alpha-cosymplectic manifold admitting eta-Ricci solitons with projective, a ne conformal vector elds. Finally, we obtain some haracterizations for such a manifold to be Einstein, eta-Einstein, cosymplectic.
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