International Journal of Pure and Applied Mathematics Volume 120 No. 1 2018, 77-85 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu doi: 10.12732/ijpam.v120i1.7 P A ijpam.eu SUBMERSION OF SEMI-INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS Vibha Srivastava 1 § , P.N. Pandey 2 1,2 Department of Mathematics University of Allahabad Allahabad, 211002, INDIA Abstract: In this paper, we discuss submersion of semi-invariant submanifolds of Lorentzian para-Sasakian manifolds and derive some results on its geometry. We also derive some curva- ture relations. AMS Subject Classification: 53C40, 53B25 Key Words: Lorentzian para-Sasakian manifolds, semi-invariant submanifold, submersion 1. Introduction In 1966, O’ Neill [1] initiated the study of Riemannian submersion. Semi- Riemannian submersion was introduced by O’ Neill in [2]. In 1981, Kobayashi [3] studied CR-Submanifold of Sasakian manifold whereas Benjancu [4, 5] in- troduced the CR-submanifolds of K¨ ahler manifold. Submersion of CR-sub- manifolds of nearly trans-Sasakian manifold were studied by Jamali and shahid [6] . Submersion of semi-invariant submanifolds of trans-Sasakian manifold were studied by Jamali et al [7]. In [8], Matsumoto introduced the notion of Lorentzian para-Sasakian manifold. In [9], the authors defined the same notion indepen- dently and they obtained many results about this type of manifold. In this paper we studied submersion of semi-invariant submanifolds of Lorentzian para- Sasakian manifolds. Received: October 27, 2017 Revised: August 13, 2018 Published: August 20, 2018 c  2018 Academic Publications, Ltd. url: www.acadpubl.eu § Correspondence author