Results 1 to 10 of about 355 (178)
Biharmonic almost complex structures
Forum of Mathematics, Sigma, 2023 This project uses methods in geometric analysis to study almost complex manifolds. We introduce the notion of biharmonic almost complex structure on a compact almost Hermitian manifold and study its regularity and existence in dimension four.
Weiyong He
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Curvature tensors on almost Hermitian manifolds [PDF]
Transactions of the American Mathematical Society, 1981 A complete decomposition of the space of curvature tensors over a Hermitian vector space into irreducible factors under the action of the unitary group is given. The dimensions of the factors, the projections, their norms and the quadratic invariants of a curvature tensor are determined.
Tricerri, Franco, Vanhecke, Lieven
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On Kähler-like and G-Kähler-like almost Hermitian manifolds
Complex Manifolds, 2020 We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
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On the most important achievements of V. F. Kirichenko in Theory of differentiable manifolds
Дифференциальная геометрия многообразий фигур, 2023 We mark out the most important results obtained by outstanding Russian geometer Vadim Feodorovich Kirichenko in the theory of almost Hermitian and almost contact metric manifolds.
M. B. Banaru, G. A. Banaru
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Bott–Chern Laplacian on almost Hermitian manifolds [PDF]
Mathematische Zeitschrift, 2022 AbstractLet$$(M,J,g,\omega )$$(M,J,g,ω)be a 2n-dimensional almost Hermitian manifold. We extend the definition of the Bott–Chern Laplacian on$$(M,J,g,\omega )$$(M,J,g,ω), proving that it is still elliptic. On a compact Kähler manifold, the kernels of the Dolbeault Laplacian and of the Bott–Chern Laplacian coincide. We show that such a property does not
Piovani, Riccardo, Tomassini, Adriano
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Almost Quaternion-Hermitian Manifolds [PDF]
Annals of Global Analysis and Geometry, 2004 25 ...
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On a property of W4 -manifolds
Дифференциальная геометрия многообразий фигур, 2020 The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
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Para-hyperhermitian structures on tangent bundles; pp. 165–173 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 In this paper we construct a family of almost para-hyperhermitian structures on the tangent bundle of an almost para-hermitian manifold and study its integrability. Also, the necessary and sufficient conditions are provided for these structures to become
Gabriel Eduard Vîlcu
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Contact-Complex Riemannian Submersions
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
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Riemannian submersions From Almost Hermitian Manifolds [PDF]
Taiwanese Journal of Mathematics, 2013 We survey main results of holomorphic submersions, anti-invariant submersions, slant submersions, semi-invariant submersions and semi-slant submersions defined on almost Hermitian manifolds. We also give an application of Riemannian submersions on redundant robotic chains obtained by Altafini and propose some open problems related to topics discussed ...
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