ON SUPER HYPER-GENERALIZED RECURRENT MANIFOLD
By
R. P. S. Yadav and B. Prasad
Department of Mathematics, S. M. M.Town Postgraduate College, Ballia, Uttar Pradesh, India-277001
Email: rana 2181@rediffmail.com, bhagwatprasad2010@rediffmail.com
(Received: June 24, 2024; In format: June 29, 2024; Revised: September 21, 2024; Accepted: October 25, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54217
Abstract
The present paper deals with a new type of non-flat recurrent manifold called as a “Super hypergeneralized recurrent (SHGR)n manifold”. The existence of a super hyper-generalized recurrent (SHGR)n manifold has been proved by two non-trivial examples.
2020 Mathematical Sciences Classification: 53C15, 53C25.
Keywords: Recurrent manifold, generalized recurrent, semi-generalized recurrent, extended recurrent and nearly recurrent manifolds.