We give a proof of the fact that an anti-Kähler–Codazzi manifold reduces to an isotropic anti-Kähler manifold if and only if the Ricci tensor field coincides with the Ricci* tensor field.
Nous donnons une preuve du fait quʼune variété de type anti-Kähler–Codazzi se réduit à une variété isotrope du même type si et seulement si le champ de tenseurs de Ricci coïncide avec le champ de tenseurs de Ricci*.
Accepted:
Published online:
Arif Salimov 1; Kursat Akbulut 1; Sibel Turanli 2
@article{CRMATH_2013__351_21-22_837_0, author = {Arif Salimov and Kursat Akbulut and Sibel Turanli}, title = {On an isotropic property of {anti-K\"ahler{\textendash}Codazzi} manifolds}, journal = {Comptes Rendus. Math\'ematique}, pages = {837--839}, publisher = {Elsevier}, volume = {351}, number = {21-22}, year = {2013}, doi = {10.1016/j.crma.2013.09.020}, language = {en}, }
TY - JOUR AU - Arif Salimov AU - Kursat Akbulut AU - Sibel Turanli TI - On an isotropic property of anti-Kähler–Codazzi manifolds JO - Comptes Rendus. Mathématique PY - 2013 SP - 837 EP - 839 VL - 351 IS - 21-22 PB - Elsevier DO - 10.1016/j.crma.2013.09.020 LA - en ID - CRMATH_2013__351_21-22_837_0 ER -
Arif Salimov; Kursat Akbulut; Sibel Turanli. On an isotropic property of anti-Kähler–Codazzi manifolds. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 837-839. doi : 10.1016/j.crma.2013.09.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.09.020/
[1] Isotropic Kähler structures on Engel 4-manifolds, J. Geom. Phys., Volume 33 (2000), pp. 288-294
[2] Tensor Operators and Their Applications, Nova Science Publishers, New York, 2012
[3] Curvature properties of anti-Kähler–Codazzi manifolds, C. R. Acad. Sci. Paris, Ser. I, Volume 351 (2013) no. 5–6, pp. 225-227
[4] Analytic tensor and its generalization, Tohoku Math. J., Volume 12 (1960) no. 2, pp. 208-221
Cited by Sources:
Comments - Policy