Calin, Constantin On the existence of degenerate hypersurfaces in Sasakian manifolds. (English) Zbl 0977.53056 Arab J. Math. Sci. 5, No. 1, 21-27 (1999). In [Int. J. Math. Math. Sci. 16, 545-556 (1993; Zbl 0787.53048)] A. Bejancu and K. L. Duggal introduced indefinite Sasakian structures \((f,\xi,\eta,g)\) and constructed a special example of index \(s\) on \(\mathbb{R}^{2n+1}\). In the paper under review the author is concerned with hypersurfaces \(M\) of the latter space, which are tangent to the structure vector field \(\xi\). He shows: If \(s=n\) then \(M\) always is non-degenerate, but for \(s=1\) degenerate examples exist. Reviewer: Helmut Reckziegel (Köln) Cited in 7 Documents MSC: 53C40 Global submanifolds 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:indefinite Sasakian structures; hypersurfaces; structure vector field Citations:Zbl 0787.53048 PDFBibTeX XMLCite \textit{C. Calin}, Arab J. Math. Sci. 5, No. 1, 21--27 (1999; Zbl 0977.53056)