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On nearly paraK\"{a}hler manifolds
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The purpose of the present paper is to study on nearly para\-K\"{a}hler manifolds. Firstly, to investigate some properties of the Ricci tensor and the Ricci* tensor of nearly paraK\"{a}hler manifolds. Secondly, to define a special metric connection with torsion on nearly paraK\"{a}hler manifolds and present its some properties.
Abstract
The purpose of the present paper is to study on nearly para\-K\"{a}hler manifolds. Firstly, to investigate some properties of the Ricci tensor and the Ricci* tensor of nearly paraK\"{a}hler manifolds. Secondly, to define a special metric connection with torsion on nearly paraK\"{a}hler manifolds and present its some properties.
참고문헌 (8)
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- A. Gray, "The sixteen classes of almost Hermitian manifolds and their linear invariants", Ann. Mat. Pura Appl., 123, pp.35~58 (1980)[DOI]
- S. Ivanov, "Parahermitian and paraquaternionic manifolds", Differential Geom. Appl., 23(2), pp.205~234 (2005)[DOI]
- V. F. Kirichenko, "Generalized Gray-Hervella classes and holomorphically projective transformations of generalized almost Hermitian structures", Izv. Math., 69(5), pp.963~987 (2005)[DOI]
- A. Salimov, "On an isotropic property of anti-Kahler-Codazzi manifolds", C. R. Math. Acad. Sci. Paris, 351(21-22), pp.837~839 (2013)[DOI]
- K. Yano, "Differential geometry on complex and almost complex spaces, International Series of Monographs in Pure and Applied Mathematics, 49" (1965), A Pergamon Press Book
관련 논문AI추천
ON PARAHOLOMORPHICALLY PSEUDOSYMMETRIC PARA-KAHLERIAN MANIFOLDSDorota Luczyszyn, Zbigniew Olszak대한수학회 · 대한수학회지2008 · 제45권 제4호Some properties of a Ricci quarter symmetric metric connection on Lorentzian para-Sasakian manifoldEROL YA¸SAR장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호On a type of semi-symmetric non metric connection in Lorentzian para-Sasakian manifoldE. Yasar장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호Curvature Properties of η-Ricci Solitons on Para-Kenmotsu ManifoldsAbhishek Singh, Shyam Kishor경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호On Some Properties of Riemannian Manifolds with a Generalized ConnectionAzam Etemad Dehkordy경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제4호On almost quasi Ricci symmetric manifolds김재만대한수학회 · 대한수학회논문집2020 · 제35권 제2호
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