A class of nearly Sasakian manifolds is considered in this paper. We discuss the geometric effects some symmetries on such and show, under a certain condition, that Ricci semi-symmetric subclass Einstein manifolds. prove Codazzi-type space form either manifold with constant ϕ-holomorphic sectional curvature H=1 or 5-dimensional proper H>1. also spectrum operator H2 generated by set simple ei...

Let (M, g, J) be a compact Hermitian manifold with a smooth boundary. Let ∆p,B and ⊓ ⊔p,B be the realizations of the real and complex Laplacians on p forms with either Dirichlet or Neumann boundary conditions. We generalize previous results in the closed setting to show that (M, g, J) is Kaehler if and only if Spec(∆p,B) = Spec(2 ⊓ ⊔p,B) for p = 0, 1. We also give a characterization of manifold...

We prove a sharp lower bound for the Tanaka–Webster holomorphic sectional curvature of strictly pseudoconvex real hypersurfaces that are “semi-isometrically” immersed in Kähler manifold nonnegative under an appropriate

In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely involving the Chen first invariant mean of totally real holomorphic spacelike submanifolds in statistical manifolds type para-Kähler space forms. Furthermore, investigate equality cases these inequalities. As illustrations applications above inequalities, consider a few examples.