an:02076528
Zbl 1052.53045
Banaru, M.
On minimality of a Sasakian hypersurface in a \(W_ 3\)-manifold
EN
Saitama Math. J. 20, 1-7 (2002).
00085760
2002
j
53C40 53C15
almost contact metric structure; Sasakian manifold; special Hermitian manifold
The main theorem of the paper is: Let \(N\) be a Sasakian hypersurface in a special Hermitian manifold \(M^{2n}\) and let \(\sigma\) be the second fundamental form of the immersion of \(N\) into \(M^{2n}\). Then \(N\) is a minimal submanifold of \(M^{2n}\) if and only if \(\sigma\left(\xi,\xi\right) =0\), with \(\xi\) being the vector field defining the almost contact metric structure on \(N\) induced by the almost Hermitian structure on \(M^{2n}\).
Andrzej Piatkowski (????d??)