Open AccessGeometry of hypersurfaces of a quarter symmetric non metric connection in a quasi-Sasakian manifold
Author(s) -
Shamsur Rahman
Publication year - 2015
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.7.2.226-235
Subject(s) - mathematics , hypersurface , connection (principal bundle) , metric connection , submanifold , manifold (fluid mechanics) , pure mathematics , metric (unit) , mathematical analysis , geometry , fundamental theorem of riemannian geometry , scalar curvature , mechanical engineering , operations management , curvature , engineering , economics
The purpose of the paper is to study the notion of CR-submanifold and the existence of some structures on a hypersurface of a quarter symmetric non metric connection in a quasi-Sasakian manifold. We study the existence of a Kahler structure on $M$ and the existence of a globally metric frame $f$-structure in sence of Goldberg S.I., Yano K. We discuss the integrability of distributions on $M$ and geometry of their leaves. We have tries to relate this result with those before obtained by Goldberg V., Rosca R. devoted to Sasakian manifold and conformal connections.