Multivector Fields on Quaternionic Kähler Manifolds

In this paper we define a differential operator as a modified Dirac operator. Using the operator, we introduce a quaternionic k -vector field on a quaternionic Kähler manifold and show that any quaternionic k -vector field corresponds to a holomorphic k -vector field on the twistor space.

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Publication Details

Journal
Publications of the Research Institute for Mathematical Sciences
Published
2024-10-02
DOI
https://doi.org/10.4171/prims/60-3-8
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Multivector Fields on Quaternionic Kähler Manifolds

Takayuki Moriyama, Takashi Nitta
Publications of the Research Institute for Mathematical Sciences
Algebraic and Geometric Analysis
article

Multivector Fields on Quaternionic Kähler Manifolds

Takayuki Moriyama, Takashi Nitta
article en

Abstract

In this paper we define a differential operator as a modified Dirac operator. Using the operator, we introduce a quaternionic k -vector field on a quaternionic Kähler manifold and show that any quaternionic k -vector field corresponds to a holomorphic k -vector field on the twistor space.

Publications of the Research Institute for Mathematical SciencesVol. 60(3)
Mie University (JP), Tsu City College (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 71%
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
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