Some notes on almost paracomplex structures associated with the diagonal lifts and operators on cotangent bundle T*(M^n)

Year 2016, Volume: 4 Issue: 4, 42 - 50, 31.12.2016

Hasim Cayir , Kubra Akdag

https://izlik.org/JA94WS54FX

Abstract

In this paper firstly, the Tachibana operators were applied to 1−form, vertical, complete and horizontal lifts with respect to almost paracomplex structure I^D (The diagonal lift I^D ) on cotangent bundle. Secondly, the Vishnevskii operators were applied to 1−form according to the diagonal lift I^D on cotangent bundle. Finally, covariant derivatives of almost paracomplex structure I^D with respect to vertical, complete and horizontal lifts were obtained.

Keywords

Tachibana Operators , Vishnevskii Operators , Almost Paracomplex Structure , Vertical Lift , Horizontal Lift

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