Results 11 to 20 of about 369 (176)
Almost-complex invariants of families of six-dimensional solvmanifolds
Complex Manifolds, 2022 We compute almost-complex invariants h∂¯p,oh_{\bar \partial }^{p,o}, hDolp,oh_{Dol}^{p,o} and almost-Hermitian invariants hδ¯p,oh_{\bar \delta }^{p,o} on families of almost-Kähler and almost-Hermitian 6-dimensional solvmanifolds.
Tardini Nicoletta, Tomassini Adriano
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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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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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Almost Quaternion-Hermitian Manifolds [PDF]
Annals of Global Analysis and Geometry, 2004 Following the point of view of Gray and Hervella, we derive detailed conditions which characterize each one of the classes of almost quaternion-Hermitian $4n$-manifolds, $n>1$. Previously, by completing a basic result of A. Swann, we give explicit descriptions of the tensors contained in the space of covariant derivatives of the fundamental form $Ω$
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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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Almost Hermitian 6-manifolds revisited [PDF]
Journal of Geometry and Physics, 2005 26 pages, revised ...
Alexandrov, Bogdan +2 more
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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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Submersions of generic submanifolds of a Kaehler manifold
Arab Journal of Mathematical Sciences, 2014 Kobayashi has shown that for the submersion π:M→B of a CR-submanifold of a Kaehler manifold M¯ onto an almost Hermitian manifold B,B is necessarily a Kaehler manifold.
Tanveer Fatima, Shahid Ali
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