Abstract
In the present paper firstly, we introduce classes of anti-paraK\"{a}hler-Codazzi manifolds and we discuss the problem of integrability for almost paracomplex structures on these manifolds.
Secondly, we introduce new classes of anti-paraHermitian manifolds associated with these anti-paraHermitian metric connections with torsion, we look for the conditions in which they become anti-paraK\"{a}hler manifolds or anti-paraK\"{a}hler-Codazzi manifolds.
Keywords
Anti-paraHermitian twin anti-paraHermitian metric anti-paraK\"{a}hler-Codazzi manifold anti-paraHermitian metric connections
Thanks
Dear Editor-in-Chief, I hope you are well. Please accept the submission of our article " Notes about an anti-paraHermitian metric connections". We would be very happy, if our manuscript meets the Journal of Publishing standards " Turkish Journal of Mathematics and Computer Science". We thank you in advance, Dr. Abderrahim ZAGANE
References
- Cruceanu, V., Fortuny,P., Gadea, P.M., A survey on paracomplex geometry, Rocky Mountain J. Math., 26(1)(1996), 83–115.
- De Leon, M., Rodrigues, P.R., Methods of Di erential Geometry in Analytical Mechanics, North-Holland Mathematics Studies, 1989.
- Ida, C., Manea, A., On para-Norden metric connections, Balkan J. Geom. Appl., 21(2)(2016), 45–54.
- Iscan, M., Salimov, A.A., On K¨ahler-Norden manifolds, Proc. Indian Acad. Sci. (Math. Sci.) 119(1) (2009), 71–80.
- Salimov, A.A., Gezer, A., Iscan, M., On para-K¨ahler-Norden structures on the tangent bundles, Ann. Polon. Math., 103(3)(2012), 247–261.
- Salimov, A. , Iscan, M., Etayo, F., Paraholomorphic B-manifold and its properties, Topology Appl., 154(4)(2007), 925–933.
- Salimov, A., Turanli, S., Curvature properties of anti-K¨ahler-Codazzi manifolds, C. R. Acad. Sci. Paris, Ser. I, 351(2013), 225–227.
- Salimov, A., Akbulut, K., Turanli, S., On an isotropic property of anti-K¨ahler-Codazzi manifolds, C. R. Math. Acad. Sci. Paris, 351(21-22)(2013), 837–839.
- Salimov, A., On anti-Hermitian metric connections, C. R. Math. Acad. Sci. Paris, 352(9)(2014), 731–735.
- Salimov, A., Azizova S., Some Remarks Concerning Anti-Hermitian Metrics, Mediterr. J. Math., 16:84(2019), 1–10.
- Yano, K., Ako, M., On certain operators associated with tensor field, Kodai Math. Sem. Rep., 20(1968), 414–436.
Abstract
References
- Cruceanu, V., Fortuny,P., Gadea, P.M., A survey on paracomplex geometry, Rocky Mountain J. Math., 26(1)(1996), 83–115.
- De Leon, M., Rodrigues, P.R., Methods of Di erential Geometry in Analytical Mechanics, North-Holland Mathematics Studies, 1989.
- Ida, C., Manea, A., On para-Norden metric connections, Balkan J. Geom. Appl., 21(2)(2016), 45–54.
- Iscan, M., Salimov, A.A., On K¨ahler-Norden manifolds, Proc. Indian Acad. Sci. (Math. Sci.) 119(1) (2009), 71–80.
- Salimov, A.A., Gezer, A., Iscan, M., On para-K¨ahler-Norden structures on the tangent bundles, Ann. Polon. Math., 103(3)(2012), 247–261.
- Salimov, A. , Iscan, M., Etayo, F., Paraholomorphic B-manifold and its properties, Topology Appl., 154(4)(2007), 925–933.
- Salimov, A., Turanli, S., Curvature properties of anti-K¨ahler-Codazzi manifolds, C. R. Acad. Sci. Paris, Ser. I, 351(2013), 225–227.
- Salimov, A., Akbulut, K., Turanli, S., On an isotropic property of anti-K¨ahler-Codazzi manifolds, C. R. Math. Acad. Sci. Paris, 351(21-22)(2013), 837–839.
- Salimov, A., On anti-Hermitian metric connections, C. R. Math. Acad. Sci. Paris, 352(9)(2014), 731–735.
- Salimov, A., Azizova S., Some Remarks Concerning Anti-Hermitian Metrics, Mediterr. J. Math., 16:84(2019), 1–10.
- Yano, K., Ako, M., On certain operators associated with tensor field, Kodai Math. Sem. Rep., 20(1968), 414–436.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Articles |
| Authors | |
| Publication Date | June 30, 2023 |
| Published in Issue | Year 2023 Volume: 15 Issue: 1 |