Comptes Rendus
no. 5-6
Differential Geometry
Curvature properties of anti-Kähler–Codazzi manifolds
[Propriétés de courbure des variétés anti-Kähler–Codazzi]

Présenté par : the Editorial Board

Arif Salimov1 ; Sibel Turanli2
1 Ataturk University, Faculty of Science, Department of Mathematics, 25240, Erzurum, Turkey
2 Erzurum Technical University, Faculty of Science, Department of Mathematics, Erzurum, Turkey
Comptes Rendus. Mathématique, Volume 351 (2013) no. 5-6, pp. 225-227.

Dans cet article, nous allons considérer une nouvelle classe de variétés intégrables presque anti-hermitiennes qui seront appelées variétés anti-Kähler–Codazzi, et nous allons étudier les propriétés de courbure de ces variétés.

In this paper we shall consider a new class of integrable almost anti-Hermitian manifolds, which will be called anti-Kähler–Codazzi manifolds, and we will investigate their curvature properties.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.03.008
Arif Salimov 1 ; Sibel Turanli 2

1 Ataturk University, Faculty of Science, Department of Mathematics, 25240, Erzurum, Turkey
2 Erzurum Technical University, Faculty of Science, Department of Mathematics, Erzurum, Turkey 
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Arif Salimov; Sibel Turanli. Curvature properties of anti-Kähler–Codazzi manifolds. Comptes Rendus. Mathématique, Volume 351 (2013) no. 5-6, pp. 225-227. doi : 10.1016/j.crma.2013.03.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.03.008/

[1] M. Iscan; A.A. Salimov On Kähler–Norden manifolds, Proc. Indian Acad. Sci. Math. Sci., Volume 119 (2009) no. 1, pp. 71-80

[2] M. Manev; D. Mekerov On Lie groups as quasi-Kähler manifolds with Killing Norden metric, Adv. Geom., Volume 8 (2008) no. 3, pp. 343-352

[3] A. Salimov On operators associated with tensor fields, J. Geom., Volume 99 (2010) no. 1–2, pp. 107-145

[4] S. Tachibana Analytic tensor and its generalization, Tohoku Math. J., Volume 12 (1960) no. 2, pp. 208-221

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