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Title
Certain condition on the second fundamental form of CR-submanifolds in odd-dimensional unit spheres
Type of Research Article
Keywords
contact structure, contact CR-submanifold,odd-dimensional unit sphere, second fundamental form.
Abstract
In this paper, we study (n+1)-dimensional real submanifolds M with (n 􀀀 1)-contact CR dimension. On these manifolds there ex- ists an almost contact structure F which is naturally induced from the ambient space. Also, we study the condition h(FX; Y ) 􀀀 h(X; FY ) = g(FX; Y )'; ' 2 TM?; on the almost contact structure F and on the second fundamental form h of these submanifolds and we characterize certain model spaces in contact odd-dimensional unit sphere.
Researchers Mozhgan Mehri Asadollahzadeh (First Researcher)، Esmaiel Abedi (Second Researcher)، Ghorbanali Haghighatdoost Bonab (Third Researcher)