The Generalized Complex Kernel Affine Projection Algorithms
Sign Up to like & getrecommendations! Published in 2021 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-021-01804-8
Abstract: The complex kernel adaptive filter (CKAF) has been widely applied to the complex-valued nonlinear problem in signal processing and machine learning. However, most of the CKAF applications involve the complex kernel least mean square (CKLMS)… read more here.
Keywords: generalized complex; affine projection; complex kernel; gckap algorithms ... See more keywords
Brane Quantization of Toric Poisson Varieties
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04315-y
Abstract: In this paper we propose a noncommutative generalization of the relationship between compact Kähler manifolds and complex projective algebraic varieties. Beginning with a prequantized Kähler structure, we use a holomorphic Poisson tensor to deform the… read more here.
Keywords: quantization toric; poisson; complex branes; generalized complex ... See more keywords
Invariant generalized complex structures on flag manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103610
Abstract: Abstract Let G be a complex semi-simple Lie group and form its maximal flag manifold F = G ∕ P = U ∕ T where P is a minimal parabolic subgroup, U a compact real… read more here.
Keywords: generalized complex; invariant generalized; structures flag; flag manifolds ... See more keywords
Blow-ups in generalized complex geometry
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DOI: 10.1090/tran/7412
Abstract: We study blow-ups in generalized complex geometry. To that end we introduce the concept of holomorphic ideal, which allows one to define a blow-up in the category of smooth manifolds. We then investigate which generalized… read more here.
Keywords: generalized complex; complex geometry; ups generalized; geometry ... See more keywords
Estimation of Ricci Curvature for Hemi-Slant Warped Product Submanifolds of Generalized Complex Space Forms and Their Applications
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DOI: 10.3390/sym15061156
Abstract: In this paper, we estimate Ricci curvature inequalities for a hemi-slant warped product submanifold immersed isometrically in a generalized complex space form with a nearly Kaehler structure, and the equality cases are also discussed. Moreover,… read more here.
Keywords: ricci curvature; generalized complex; space; warped product ... See more keywords
Lower extremities for generalized normalized δ-Casorati curvatures of bi-slant submanifolds in generalized complex space forms
Sign Up to like & getrecommendations! Published in 2018 at "Kragujevac journal of mathematics"
DOI: 10.5937/kgjmath1804591a
Abstract: In this paper, we obtain the inequalities for the generalized normalized δ-Casorati curvature and the normalized scalar curvature for different submanifolds in generalized complex space form, which is based on an optimization procedure involving a… read more here.
Keywords: generalized normalized; generalized complex; space; submanifolds generalized ... See more keywords