SASAKIAN METRICS, INTEGRABILITY CONDITIONS AND OPERATORS ON COTANGENT BUNDLE

In this paper firstly, It was studied almost paraholomorphic vector field with respect to almost para-Nordenian structure (F; S g) and the purity conditions of the Sasakian metric is investigate with respect to almost para complex structure F on cotangent bundle. Secondly, we obtained the integrabil...

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Bibliographic Details
Published inHonam mathematical journal Vol. 40; no. 4; pp. 749 - 763
Main Author CAYIR, Hasim
Format Journal Article
LanguageKorean
Published 호남수학회 31.12.2018
Subjects
Nijenhuis tensor
almost paracomplex structure
integrability conditions
operators
Sasakian metrics
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Summary:In this paper firstly, It was studied almost paraholomorphic vector field with respect to almost para-Nordenian structure (F; S g) and the purity conditions of the Sasakian metric is investigate with respect to almost para complex structure F on cotangent bundle. Secondly, we obtained the integrability conditions of almost paracomplex structure F by calculating the Nijenhuis tensors of F of type (1; 1) on C T(M n ): Finally, the Tachibana operator applied to S g according to F and the Vishnevskii operators (operator) applied to the vertical and horizontal lifts with respect to F on cotangent bundle.
Bibliography:THE HONAM MATHEMATICAL SOCIETY KWANGJU
KISTI1.1003/JNL.JAKO201809863002414
ISSN:1225-293X