Browse > Article
http://dx.doi.org/10.4134/BKMS.b170344

ON NEARLY PARAKÄHLER MANIFOLDS  

Gezer, Aydin (Ataturk University Faculty of Science Department of Mathematics)
Turanli, Sibel (Erzurum Technical University Faculty of Science Department of Mathematics)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.3, 2018 , pp. 871-879 More about this Journal
Abstract
The purpose of the present paper is to study on nearly $paraK{\ddot{a}}hler$ manifolds. Firstly, to investigate some properties of the Ricci tensor and the $Ricci^*$ tensor of nearly $paraK{\ddot{a}}hler$ manifolds. Secondly, to define a special metric connection with torsion on nearly $paraK{\ddot{a}}hler$ manifolds and present its some properties.
Keywords
metric connection; nearly $paraK{\ddot{a}}hler$ manifold; Ricci tensor;
Citations & Related Records
연도 인용수 순위
  • Reference
1 P. M. Gadea and J. M. Masque, Classification of almost para-Hermitian manifolds, Rend. Mat. Appl. (7) 11 (1991), no. 2, 377-396.
2 E. Garcia-Rio and Y. Matsushita, Isotropic Kahler structures on Engel 4-manifolds, J. Geom. Phys. 33 (2000), no. 3-4, 288-294.   DOI
3 A. Gray and L. M. Hervella, The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl. (4) 123 (1980), 35-58.   DOI
4 S. Ivanov and S. Zamkovoy, Parahermitian and paraquaternionic manifolds, Differential Geom. Appl. 23 (2005), no. 2, 205-234.   DOI
5 V. F. Kirichenko, Generalized Gray-Hervella classes and holomorphically projective transformations of generalized almost Hermitian structures, Izv. Math. 69 (2005), no. 5, 963-987; translated from Izv. Ross. Akad. Nauk Ser. Mat. 69 (2005), no. 5, 107-132.   DOI
6 A. Salimov, K. Akbulut, and S. Turanli, On an isotropic property of anti-Kahler-Codazzi manifolds, C. R. Math. Acad. Sci. Paris 351 (2013), no. 21-22, 837-839.   DOI
7 K. Yano, Differential geometry on complex and almost complex spaces, International Series of Monographs in Pure and Applied Mathematics, 49, A Pergamon Press Book. The Macmillan Co., New York, 1965.
8 V. Cruceanu, P. Fortuny, and P. M. Gadea, A survey on paracomplex geometry, Rocky Mountain J. Math. 26 (1996), no. 1, 83-115.   DOI