CR-Submanifolds of Generalized -Space Forms
Author(s) -
Mahmood Jaafari Matehkolaee
Publication year - 2013
Publication title -
geometry
Language(s) - English
Resource type - Journals
eISSN - 2314-4238
pISSN - 2314-422X
DOI - 10.1155/2013/654780
Subject(s) - space form , submanifold , space (punctuation) , second fundamental form , mathematics , scalar curvature , mathematical analysis , curvature , ricci curvature , scalar (mathematics) , pure mathematics , riemann curvature tensor , mean curvature , geometry , computer science , operating system
We study sectional curvature, Ricci tensor, and scalar curvature of submanifolds of generalized -space forms. Then we give an upper bound for foliate -horizontal (and vertical) CR-submanifold of a generalized -space form and an upper bound for minimal -horizontal (and vertical) CR-submanifold of a generalized -space form. Finally, we give the same results for special cases of generalized -space forms such as -space forms, generalized Sasakian space forms, Sasakian space forms, Kenmotsu space forms, cosymplectic space forms, and almost -manifolds
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