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math.DG2021
Quaternionic -vector fields on quaternionic Kähler manifolds
Takayuki Moriyama, Takashi Nitta
In this paper, we define a differential operator as a modified Dirac operator. Using the operator, we introduce a quaternionic -vector field on a quaternionic Kähler manifold an…
math.DG2017
Splitting theorem for sheaves of holomorphic -vectors on complex contact manifolds
Takayuki Moriyama, Takashi Nitta
A complex contact structure is defined by a system of holomorphic local -forms satisfying the completely non-integrability condition. The contact structure induces a subbund…
math.DG2015
Some examples of global Poisson structures on
Takayuki Moriyama, Takashi Nitta
A Poisson structure is represented by a bivector whose Schouten bracket vanishes. We study a global Poisson structure on associated with a holomorphic Poisson structure on $\…