Hermitian symmetric spaces are an important class of manifolds that can be studied with
methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian …

We introduce the notion of parallel Ricci tensor for real hypersurfaces in the complex quadric
Q m= SO m+ 2/SO m SO 2. According to the A-principal or the A-isotropic unit normal vector …

We introduce the notion of harmonic curvature for real hypersurfaces in the complex quadric
Q m= SO m+ 2/SO m SO 2. We give a complete classification, in terms of their A-principal or …

In this paper, we give a complete classification of Yamabe solitons and gradient Yamabe
solitons on real hypersurfaces in the complex quadric Q m= SO m+ 2/SO 2 SO m. In the …

First we introduce a new notion of Ricci-soliton and pseudo-Einstein for real hypersurfaces
in the noncompact complex hyperbolic quadric SO 2, m 0∕ SO 2 SO m. Next as an …

We classify real hypersurfaces with isometric Reeb flow in the complex hyperbolic quadrics
Q∗ m= SO 2, mo/SO m SO 2, m≥ 3. We show that m is even, say m= 2 k, and any such …

In this paper, first, we investigate the commuting property between the normal Jacobi
operator R ̄ N ̄R_N and the structure Jacobi operator R ξ for Hopf real hypersurfaces in …

By using the notion of Fischer-Marsden Equation on real hypersurfaces in the complex
quadric Q m= SO m+ 2/SO 2 SO m, we can assert that there does not exist a non-trivial …

First we introduce a new notion of pseudo-anti commuting Ricci tensor for real
hypersurfaces in the complex quadric Q m= SO m+ 2/SO 2 SO m and give a complete …

We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex
quadric Q m= SO m+ 2/SO m SO 2. It is shown that the commuting Ricci tensor gives that the …