Open AccessSemi-symmetry of δ(2,2) Chen ideal submanifolds
Author(s) -
Anica Pantic,
Miroslava Petrović–Torgašev
Publication year - 2015
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/fil1503393p
Subject(s) - submanifold , mathematics , chen , ideal (ethics) , euclidean space , pure mathematics , symmetry (geometry) , euclidean geometry , space (punctuation) , mathematical analysis , geometry , law , computer science , paleontology , political science , biology , operating system
In this paper we discuss $\delta (2,2)$ Chen ideal submanifolds $M^4$ in the Euclidean space $\mathbb{E}^6$, and we find the necessary and sufficient conditions under which such a submanifold $M^4$ is semi-symmetric, i.e. it satisfies the condition $R(X,Y)\cdot R=0$.
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