TY - JOUR AU - Lee, Hyunjin AU - Pak, Eunmi AU - Suh, Young Jin PY - 2015/12/14 Y2 - 2024/03/28 TI - Hopf Hypersurfaces in Complex Two-Plane Grassmannians With $\mathfrak{D}$-Parallel Shape Operator JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 117 IS - 2 SE - Articles DO - 10.7146/math.scand.a-22868 UR - https://www.mscand.dk/article/view/22868 SP - 217-230 AB - In this paper we consider a generalized condition for shape operator of a real hypersurface $M$ in complex two-plane Grassmannian $G_2(\mathsf{C}^{m+2})$, namely, $\mathfrak{D}$-parallel shape operator of $M$. Using such a notion, we prove that there does not exist a real hypersurface in complex two-plane Grassmannian $G_2(\mathsf{C}^{m+2})$ with $\mathfrak{D}$-parallel shape operator. ER -