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Neutral Slant Submanifolds of a Para-Kähler Manifold
Published 2013-01-01“…We define and study both neutral slant and semineutral slant submanifolds of an almost para-Hermitian manifold and, in particular, of a para-Kähler manifold. We give characterization theorems for neutral slant and semi-neutral slant submanifolds. …”
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Abstract mechanical connection and abelian reconstruction for almost Kähler manifolds
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Some Properties of Curvature Tensors and Foliations of Locally Conformal Almost Kähler Manifolds
Published 2021-01-01“…We show that a locally conformal almost Kähler manifold admits a canonical foliation whose leaves are hypersurfaces with the mean curvature vector field proportional to the Lee vector field. …”
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Pointwise Hemislant Submanifolds in a Complex Space Form
Published 2023-01-01“…In this paper, pointwise hemislant submanifolds were introduced in a Kahler manifold. The integrability conditions for the distributions which are involved in the definition of a pointwise hemislant submanifold were investigated. …”
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Frobenius integrability of certain $p$-forms on singular spaces
Published 2024-06-01“…Demailly proved that on a smooth compact Kähler manifold the distribution defined by a holomorphic $p$-form with values in an anti-pseudoeffective line bundle is always integrable. …”
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On locally conformal Kähler space forms
Published 1985-01-01“…An m-dimensional locally conformal Kähler manifold (l.c.K-manifold) is characterized as a Hermitian manifold admitting a global closed l-form αλ (called the Lee form) whose structure (Fμλ,gμλ) satisfies ∇νFμλ=−βμgνλ+βλgνμ−αμFνλ+αλFνμ, where ∇λ denotes the covariant differentiation with respect to the Hermitian metric gμλ, βλ=−Fλϵαϵ, Fμλ=Fμϵgϵλ and the indices ν,μ,…,λ run over the range 1,2,…,m.…”
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Optimal $L^2$ Extensions of Openness Type and Related Topics
Published 2023-03-01“…We establish several optimal $L^2$ extension theorems of openness type on weakly pseudoconvex Kähler manifolds. We prove a product property for certain minimal $L^2$ extensions, which generalizes the product property of Bergman kernels. …”
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