Author:
Lee Hyunjin, ,Suh Young Jin,
Abstract
In this paper, we introduce the new notion of semi-parallel real hypersurface in the complex quadric \(Q^{m}\). Moreover, we give a nonexistence theorem for semi-parallel Hopf real hypersurfaces in the complex quadric \(Q^{m}\) for \(m \geq 3\).
Publisher
University of Zagreb, Faculty of Science, Department of Mathematics
Reference38 articles.
1. A. L. Besse, Einstein manifolds. Reprint of the 1987 edition, Springer-Verlag, Berlin, 2008.
2. J. Berndt and Y. J. Suh, Real hypersurfaces in Hermitian symmetric spaces, De Gruyter, Berlin, 2022.
3. D. E. Blair, Riemannian geometry of contact and symplectic manifolds. Second edition, Birkhäuser Boston, Ltd., Boston, 2010.
4. J. Deprez, Semiparallel surfaces in Euclidean space, J. Geom. 25 (1985), 192-200.
5. J. Deprez, Semiparallel hypersurfaces, Rend. Sem. Mat. Univ. Politec. Torino 44 (1986), 303-316.