Recurrent and 2-recurrent anti-invariant sub-manifolds of trans-Sasakian manifolds

AuthorsVahid Pirhadi
Conference Title54امین کنفرانس ریاضی ایران
Holding Date of Conference2023-08-23 - 2023-08-25
Event Place1 - زنجان
Presented byدانشگاه کاشان
PresentationSPEECH
Conference LevelInternational Conferences

Abstract

‎In this paper‎, ‎we consider the anti-invariant submanifolds of trans-Sasakian manifolds and prove that trans-Sasakian manifolds which have non-trivial anti-invariant submanifolds are $\beta$-Kenmotsu‎. ‎We also show that recurrent and $2$-recurrent anti-invariant submanifolds of trans-Sasakian manifolds are totally geodesic‎.

Paper URL

tags: trans-Sasakian manifolds‎, ‎recurrent submanifolds‎, ‎2-recurrent submanifolds