Fock Representations and Deformation Quantization of Kähler Manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-016-0753-z
Abstract: The goal of this paper is to construct the Fock representation of noncommutative Kähler manifolds. Noncommutative Kähler manifolds studied here are constructed by deformation quantization with separation of variables, which was given by Karabegov. The… read more here.
Keywords: hler; noncommutative hler; fock representations; hler manifolds ... See more keywords
A Note on the uncoupled Dirac-harmonic maps from Kähler spin manifolds to Kähler manifolds
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DOI: 10.1007/s00229-017-0941-8
Abstract: In this manuscript, we consider uncoupled Dirac-harmonic maps from Kähler spin manifolds to Kähler manifolds and prove an existence theorem. Moreover, we construct some new uncoupled Dirac-harmonic maps from Riemann surfaces to Kähler manifolds. read more here.
Keywords: hler; dirac harmonic; harmonic maps; hler manifolds ... See more keywords
On the Classification of ALE Kähler Manifolds
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DOI: 10.1093/imrn/rnz376
Abstract: The underlying complex structure of ALE Kähler manifolds is exhibited as a resolution of a deformation of an isolated quotient singularity. As a consequence, there exist only finitely many diffeomorphism types of minimal ALE Kähler… read more here.
Keywords: hler; ale hler; hler manifolds; classification ale ... See more keywords
On the Kähler-likeness on nearly Kähler manifolds
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DOI: 10.1142/s1793557121501321
Abstract: We introduce Kähler-like, G-Kähler-like almost Hermitian metrics. We characterize the Kähler-likeness and the G-Kähler-likeness, and show that these properties are equivalent on nearly Kähler manifolds. Furthermore, we prove that a nearly Kähler manifold with the… read more here.
Keywords: likeness nearly; hler manifolds; hler; hler likeness ... See more keywords