Open AccessAlmost Riemann solitons and gradient almost Riemann solitons on Lp-Sasakian manifolds
Author(s) -
Krishnendu De
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2111759d
Subject(s) - mathematics , soliton , riemann hypothesis , manifold (fluid mechanics) , constant (computer programming) , pointwise , vector field , mathematical analysis , mathematical physics , riemann surface , divergence (linguistics) , pure mathematics , physics , quantum mechanics , geometry , nonlinear system , mechanical engineering , computer science , engineering , programming language , linguistics , philosophy
The upcoming article aims to investigate almost Riemann solitons and gradient almost Riemann solitons in a LP-Sasakian manifoldM3. At first, it is proved that if (1,Z,?) be an almost Riemann soliton on a LP-Sasakian manifold M3, then it reduces to a Riemann soliton, provided the soliton vector Z has constant divergence. Also, we show that if Z is pointwise collinear with the characteristic vector field ?, then Z is a constant multiple of ?, and the ARS reduces to a Riemann soliton. Furthermore, it is proved that if a LP-Sasakian manifold M3 admits gradient almost Riemann soliton, then the manifold is a space form. Also, we consider a non-trivial example and validate a result of our paper.