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On the Integrability of Generalized Almost para-Norden and para-Hermitian Structures

Mediterranean Journal of Mathematics, 2017
From an adapted version of the crucial Newlander-Nirenberg theorem, it is well known that the definition of a kind of `complex-like structure' on a smooth manifold \(M\) of dimension \(n\) involves two steps; firstly, we have to specify an algebraic condition on the tangent bundle (obtaining an `almost complex-like structure'), as well as the ...
Ida, Cristian, Manea, Adelina
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Some Classes of Almost Anti-Hermitian Structures on the Tangent Bundle

Mediterranean Journal of Mathematics, 2004
Let \(\widetilde J\) be an almost complex structure on a pseudo-Riemannian manifold \((\widetilde M, \widetilde G)\). \(\widetilde J\) is called an almost anti-Hermitian structure if \(\widetilde G(\widetilde JX,\widetilde JY)+\widetilde G(X,Y)=0\). \textit{G.~T.~Ganchev} and \textit{A.~V.~Borisov} [C. R. Acad. Bulg. Sci. 39, No.
Papaghiuc, Neculai, Oproiu, Vasile
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On the classes of almost Hermitian structures on the tangent bundle of an almost contact metric manifold

Acta Mathematica Hungarica, 1990
If M is an almost contact metric manifold then by using some standard construction its tangent space TM becomes an almost Hermitian manifold. A classification for almost Hermitian manifolds was obtained by \textit{A. Gray} and \textit{L. M. Hervella} [Ann. Mat. Pura Appl., IV. Ser. 123, 35-58 (1980; Zbl 0444.53022)].
Bonome, A., Hervella, L. M., Rozas, I.
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The Almost Hermitian Structures Determined by the Riemannian Structures on the Tangent Bundle

2003
One proves that a Riemannian structure 𝔾 on the total space TM of the tangent bundle (TM, π, M) determines an almost Hermitian structure on TM.
Radu Miron, Koji Matsumoto
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On an intrinsic connexion in an X2n with an almost hermitian structure

Indagationes Mathematicae (Proceedings), 1955
Schouten, J. A., Yano, K.
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Twistorial examples of almost Hermitian manifolds with Hermitian Ricci tensor

Acta Mathematica Hungarica, 2018
Oleg Mushkarov, J Davidov
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