Results 11 to 20 of about 18,204 (186)
Estimates for a function on almost Hermitian manifolds
Complex Manifolds, 2021 We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.
Kawamura Masaya
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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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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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Cubo, 2022 We investigate Monge-Amp\`ere type equations on almost Hermitian manifolds and show an \textit{a priori} $L^\infty$ estimate for a smooth solution of these equations.
Masaya Kawamura
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Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds
Complex Manifolds, 2023 We study four-dimensional second Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis, the Riemannian dual of the Lee form is a Killing vector field.
Barbaro Giuseppe, Lejmi Mehdi
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On h-Quasi-Hemi-Slant Riemannian Maps
Axioms, 2022 In the present article, we indroduce and study h-quasi-hemi-slant (in short, h-qhs) Riemannian maps and almost h-qhs Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds. We investigate some fundamental results mainly on h-
Mohd Bilal +4 more
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On the Geometry of Connections with Totally Skew-Symmetric Torsion on Manifolds with Additional Tensor Structures and Indefinite Metrics [PDF]
, 2010 This paper is a survey of results obtained by the authors on the geometry of connections with totally skew-symmetric torsion on the following manifolds: almost complex manifolds with Norden metric, almost contact manifolds with B-metric and almost ...
Gribachev, Kostadin +2 more
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Almost Quaternion-Hermitian Manifolds [PDF]
Annals of Global Analysis and Geometry, 2004 25 ...
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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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Mathematics, 2020 We study the local commutation relation between the Lefschetz operator and the exterior differential on an almost complex manifold with a compatible metric.
Joana Cirici, Scott O. Wilson
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