Differential Geometry
Curvature properties of anti-Kähler–Codazzi manifolds
Comptes Rendus. Mathématique, Volume 351 (2013) no. 5-6, pp. 225-227.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.03.008
Salimov, Arif 1; Turanli, Sibel 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
@article{CRMATH_2013__351_5-6_225_0,
     author = {Salimov, Arif and Turanli, Sibel},
     title = {Curvature properties of {anti-K\"ahler{\textendash}Codazzi} manifolds},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {225--227},
     publisher = {Elsevier},
     volume = {351},
     number = {5-6},
     year = {2013},
     doi = {10.1016/j.crma.2013.03.008},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.crma.2013.03.008/}
}
TY  - JOUR
AU  - Salimov, Arif
AU  - Turanli, Sibel
TI  - Curvature properties of anti-Kähler–Codazzi manifolds
JO  - Comptes Rendus. Mathématique
PY  - 2013
SP  - 225
EP  - 227
VL  - 351
IS  - 5-6
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.crma.2013.03.008/
DO  - 10.1016/j.crma.2013.03.008
LA  - en
ID  - CRMATH_2013__351_5-6_225_0
ER  - 
%0 Journal Article
%A Salimov, Arif
%A Turanli, Sibel
%T Curvature properties of anti-Kähler–Codazzi manifolds
%J Comptes Rendus. Mathématique
%D 2013
%P 225-227
%V 351
%N 5-6
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.crma.2013.03.008/
%R 10.1016/j.crma.2013.03.008
%G en
%F CRMATH_2013__351_5-6_225_0
Salimov, Arif; Turanli, Sibel. 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. http://www.numdam.org/articles/10.1016/j.crma.2013.03.008/

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

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

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

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

Cited by Sources: