Open AccessA classification of 3-dimensional η-Einstein paracontact metric manifolds
Author(s) -
Simeon Zamkovoy,
Assen Bojilov
Publication year - 2020
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/fil2011567z
Subject(s) - mathematics , metric (unit) , manifold (fluid mechanics) , einstein , sectional curvature , curvature , constant (computer programming) , mathematical analysis , pure mathematics , mathematical physics , scalar curvature , geometry , computer science , economics , mechanical engineering , operations management , engineering , programming language
We show that a 3??dimensional ?-Einstein paracontact metric manifold is either a manifold with trh2 = 0, flat or of constant _??sectional curvature k , ??1 and constant '-sectional curvature ??k , 1.