×

Certain class of contact \(CR\)-submanifolds of a Sasakian space form. (English) Zbl 1288.53048

Authors’ abstract: We investigate \((n+1)\)-dimensional contact CR-submanifolds \(M\), \(n\geq 3\), of contact CR-dimension \(n-1\) in a complete simply connected Sasakian space form of constant \(\phi\)-holomorphic sectional curvature \(c\not= -3\) which satisfy the condition \(h(FX,Y)+h(X,FY)=0\) for any vector fields \(X,Y\) tangent to \(M\), where \(h\) and \(F\) denote the second fundamental form and a skew-symmetric endomorphism acting on the tangent space of \(M\), respectively.

MSC:

53C40 Global submanifolds
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
PDFBibTeX XMLCite
Full Text: DOI Link